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Finding the Fourth Proportional to 7,167.71, 9,876.85 and 5,489.12

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Solution

The fourth proportional to 7,167.71, 9,876.85 and 5,489.12 is: 7,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.71 : 9,876.85 = 5,489.12 : x
  2. Step 2: Convert to fraction form
    7,167.71/9,876.85 = 5,489.12/x
  3. Step 3: Cross multiply
    7,167.71x = 9,876.85 × 5,489.12
  4. Step 4: Simplify right side
    7,167.71x = 54,215,151.76
  5. Step 5: Solve for x
    x = 54,215,151.76/7,167.71
  6. Step 6: Final answer
    x = 7,563.81

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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.