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Finding the Fourth Proportional to 10,471.72, 15,677.88 and 9,486.31

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Solution

The fourth proportional to 10,471.72, 15,677.88 and 9,486.31 is: 14,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.72 : 15,677.88 = 9,486.31 : x
  2. Step 2: Convert to fraction form
    10,471.72/15,677.88 = 9,486.31/x
  3. Step 3: Cross multiply
    10,471.72x = 15,677.88 × 9,486.31
  4. Step 4: Simplify right side
    10,471.72x = 148,725,229.82
  5. Step 5: Solve for x
    x = 148,725,229.82/10,471.72
  6. Step 6: Final answer
    x = 14,202.56

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1.5x scale

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.