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Finding the Fourth Proportional to 15,859.86, 23,790 and 7,540.71

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Solution

The fourth proportional to 15,859.86, 23,790 and 7,540.71 is: 11,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.86 : 23,790 = 7,540.71 : x
  2. Step 2: Convert to fraction form
    15,859.86/23,790 = 7,540.71/x
  3. Step 3: Cross multiply
    15,859.86x = 23,790 × 7,540.71
  4. Step 4: Simplify right side
    15,859.86x = 179,393,490.90
  5. Step 5: Solve for x
    x = 179,393,490.90/15,859.86
  6. Step 6: Final answer
    x = 11,311.16

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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.