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Finding the Fourth Proportional to 8,407.52, 12,613.50 and 7,489.38

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Solution

The fourth proportional to 8,407.52, 12,613.50 and 7,489.38 is: 11,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.52 : 12,613.50 = 7,489.38 : x
  2. Step 2: Convert to fraction form
    8,407.52/12,613.50 = 7,489.38/x
  3. Step 3: Cross multiply
    8,407.52x = 12,613.50 × 7,489.38
  4. Step 4: Simplify right side
    8,407.52x = 94,467,294.63
  5. Step 5: Solve for x
    x = 94,467,294.63/8,407.52
  6. Step 6: Final answer
    x = 11,236.05

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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.