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Finding the Fourth Proportional to 6,931.50, 9,565.50 and 3,787.68

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Solution

The fourth proportional to 6,931.50, 9,565.50 and 3,787.68 is: 5,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.50 : 9,565.50 = 3,787.68 : x
  2. Step 2: Convert to fraction form
    6,931.50/9,565.50 = 3,787.68/x
  3. Step 3: Cross multiply
    6,931.50x = 9,565.50 × 3,787.68
  4. Step 4: Simplify right side
    6,931.50x = 36,231,053.04
  5. Step 5: Solve for x
    x = 36,231,053.04/6,931.50
  6. Step 6: Final answer
    x = 5,227.01

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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.