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Finding the Fourth Proportional to 10,514.77, 15,753.01 and 6,118.90

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Solution

The fourth proportional to 10,514.77, 15,753.01 and 6,118.90 is: 9,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.77 : 15,753.01 = 6,118.90 : x
  2. Step 2: Convert to fraction form
    10,514.77/15,753.01 = 6,118.90/x
  3. Step 3: Cross multiply
    10,514.77x = 15,753.01 × 6,118.90
  4. Step 4: Simplify right side
    10,514.77x = 96,391,092.89
  5. Step 5: Solve for x
    x = 96,391,092.89/10,514.77
  6. Step 6: Final answer
    x = 9,167.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.