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Finding the Fourth Proportional to 9,641.77, 13,281.84 and 8,220.83

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Solution

The fourth proportional to 9,641.77, 13,281.84 and 8,220.83 is: 11,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.77 : 13,281.84 = 8,220.83 : x
  2. Step 2: Convert to fraction form
    9,641.77/13,281.84 = 8,220.83/x
  3. Step 3: Cross multiply
    9,641.77x = 13,281.84 × 8,220.83
  4. Step 4: Simplify right side
    9,641.77x = 109,187,682.32
  5. Step 5: Solve for x
    x = 109,187,682.32/9,641.77
  6. Step 6: Final answer
    x = 11,324.45

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Half scale
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Double scale
Find fourth proportional to 9,642.77, 13,283.22 and 8,221.83
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.