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Finding the Fourth Proportional to 11,855.40, 16,357.35 and 6,821.22

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Solution

The fourth proportional to 11,855.40, 16,357.35 and 6,821.22 is: 9,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.40 : 16,357.35 = 6,821.22 : x
  2. Step 2: Convert to fraction form
    11,855.40/16,357.35 = 6,821.22/x
  3. Step 3: Cross multiply
    11,855.40x = 16,357.35 × 6,821.22
  4. Step 4: Simplify right side
    11,855.40x = 111,577,082.97
  5. Step 5: Solve for x
    x = 111,577,082.97/11,855.40
  6. Step 6: Final answer
    x = 9,411.50

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Half scale
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Double scale
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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.