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Finding the Fourth Proportional to 10,934.68, 15,096.90 and 8,411.80

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Solution

The fourth proportional to 10,934.68, 15,096.90 and 8,411.80 is: 11,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.68 : 15,096.90 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    10,934.68/15,096.90 = 8,411.80/x
  3. Step 3: Cross multiply
    10,934.68x = 15,096.90 × 8,411.80
  4. Step 4: Simplify right side
    10,934.68x = 126,992,103.42
  5. Step 5: Solve for x
    x = 126,992,103.42/10,934.68
  6. Step 6: Final answer
    x = 11,613.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.