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Finding the Fourth Proportional to 7,472.71, 10,311.87 and 4,486.78

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Solution

The fourth proportional to 7,472.71, 10,311.87 and 4,486.78 is: 6,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.71 : 10,311.87 = 4,486.78 : x
  2. Step 2: Convert to fraction form
    7,472.71/10,311.87 = 4,486.78/x
  3. Step 3: Cross multiply
    7,472.71x = 10,311.87 × 4,486.78
  4. Step 4: Simplify right side
    7,472.71x = 46,267,092.08
  5. Step 5: Solve for x
    x = 46,267,092.08/7,472.71
  6. Step 6: Final answer
    x = 6,191.47

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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.