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Finding the Fourth Proportional to 8,711.89, 13,066.08 and 3,713.31

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Solution

The fourth proportional to 8,711.89, 13,066.08 and 3,713.31 is: 5,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.89 : 13,066.08 = 3,713.31 : x
  2. Step 2: Convert to fraction form
    8,711.89/13,066.08 = 3,713.31/x
  3. Step 3: Cross multiply
    8,711.89x = 13,066.08 × 3,713.31
  4. Step 4: Simplify right side
    8,711.89x = 48,518,391.60
  5. Step 5: Solve for x
    x = 48,518,391.60/8,711.89
  6. Step 6: Final answer
    x = 5,569.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.