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Finding the Fourth Proportional to 10,613.13, 15,927.84 and 5,686.89

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Solution

The fourth proportional to 10,613.13, 15,927.84 and 5,686.89 is: 8,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.13 : 15,927.84 = 5,686.89 : x
  2. Step 2: Convert to fraction form
    10,613.13/15,927.84 = 5,686.89/x
  3. Step 3: Cross multiply
    10,613.13x = 15,927.84 × 5,686.89
  4. Step 4: Simplify right side
    10,613.13x = 90,579,874.02
  5. Step 5: Solve for x
    x = 90,579,874.02/10,613.13
  6. Step 6: Final answer
    x = 8,534.70

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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.