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Finding the Fourth Proportional to 15,687.86, 23,531.07 and 5,299.70

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Solution

The fourth proportional to 15,687.86, 23,531.07 and 5,299.70 is: 7,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.86 : 23,531.07 = 5,299.70 : x
  2. Step 2: Convert to fraction form
    15,687.86/23,531.07 = 5,299.70/x
  3. Step 3: Cross multiply
    15,687.86x = 23,531.07 × 5,299.70
  4. Step 4: Simplify right side
    15,687.86x = 124,707,611.68
  5. Step 5: Solve for x
    x = 124,707,611.68/15,687.86
  6. Step 6: Final answer
    x = 7,949.31

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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.