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Finding the Fourth Proportional to 10,931.68, 16,366.20 and 8,171.20

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Solution

The fourth proportional to 10,931.68, 16,366.20 and 8,171.20 is: 12,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.68 : 16,366.20 = 8,171.20 : x
  2. Step 2: Convert to fraction form
    10,931.68/16,366.20 = 8,171.20/x
  3. Step 3: Cross multiply
    10,931.68x = 16,366.20 × 8,171.20
  4. Step 4: Simplify right side
    10,931.68x = 133,731,493.44
  5. Step 5: Solve for x
    x = 133,731,493.44/10,931.68
  6. Step 6: Final answer
    x = 12,233.39

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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.