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Finding the Fourth Proportional to 23,121.38, 34,687.53 and 7,539

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Solution

The fourth proportional to 23,121.38, 34,687.53 and 7,539 is: 11,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121.38 : 34,687.53 = 7,539 : x
  2. Step 2: Convert to fraction form
    23,121.38/34,687.53 = 7,539/x
  3. Step 3: Cross multiply
    23,121.38x = 34,687.53 × 7,539
  4. Step 4: Simplify right side
    23,121.38x = 261,509,288.67
  5. Step 5: Solve for x
    x = 261,509,288.67/23,121.38
  6. Step 6: Final answer
    x = 11,310.28

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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.