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Finding the Fourth Proportional to 10,456.08, 15,691.74 and 7,998

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Solution

The fourth proportional to 10,456.08, 15,691.74 and 7,998 is: 12,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.08 : 15,691.74 = 7,998 : x
  2. Step 2: Convert to fraction form
    10,456.08/15,691.74 = 7,998/x
  3. Step 3: Cross multiply
    10,456.08x = 15,691.74 × 7,998
  4. Step 4: Simplify right side
    10,456.08x = 125,502,536.52
  5. Step 5: Solve for x
    x = 125,502,536.52/10,456.08
  6. Step 6: Final answer
    x = 12,002.83

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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.