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Finding the Fourth Proportional to 10,537.62, 15,814.86 and 5,272.42

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Solution

The fourth proportional to 10,537.62, 15,814.86 and 5,272.42 is: 7,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.62 : 15,814.86 = 5,272.42 : x
  2. Step 2: Convert to fraction form
    10,537.62/15,814.86 = 5,272.42/x
  3. Step 3: Cross multiply
    10,537.62x = 15,814.86 × 5,272.42
  4. Step 4: Simplify right side
    10,537.62x = 83,382,584.16
  5. Step 5: Solve for x
    x = 83,382,584.16/10,537.62
  6. Step 6: Final answer
    x = 7,912.85

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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.