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Finding the Fourth Proportional to 15,708.72, 23,538.78 and 9,138

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Solution

The fourth proportional to 15,708.72, 23,538.78 and 9,138 is: 13,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.72 : 23,538.78 = 9,138 : x
  2. Step 2: Convert to fraction form
    15,708.72/23,538.78 = 9,138/x
  3. Step 3: Cross multiply
    15,708.72x = 23,538.78 × 9,138
  4. Step 4: Simplify right side
    15,708.72x = 215,097,371.64
  5. Step 5: Solve for x
    x = 215,097,371.64/15,708.72
  6. Step 6: Final answer
    x = 13,692.86

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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.