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Finding the Fourth Proportional to 10,614.60, 15,921.90 and 8,161.80

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Solution

The fourth proportional to 10,614.60, 15,921.90 and 8,161.80 is: 12,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.60 : 15,921.90 = 8,161.80 : x
  2. Step 2: Convert to fraction form
    10,614.60/15,921.90 = 8,161.80/x
  3. Step 3: Cross multiply
    10,614.60x = 15,921.90 × 8,161.80
  4. Step 4: Simplify right side
    10,614.60x = 129,951,363.42
  5. Step 5: Solve for x
    x = 129,951,363.42/10,614.60
  6. Step 6: Final answer
    x = 12,242.70

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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.