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Finding the Fourth Proportional to 6,822.94, 9,412.75 and 3,910.96

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Solution

The fourth proportional to 6,822.94, 9,412.75 and 3,910.96 is: 5,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.94 : 9,412.75 = 3,910.96 : x
  2. Step 2: Convert to fraction form
    6,822.94/9,412.75 = 3,910.96/x
  3. Step 3: Cross multiply
    6,822.94x = 9,412.75 × 3,910.96
  4. Step 4: Simplify right side
    6,822.94x = 36,812,888.74
  5. Step 5: Solve for x
    x = 36,812,888.74/6,822.94
  6. Step 6: Final answer
    x = 5,395.46

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Half scale
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Double scale
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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.