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Finding the Fourth Proportional to 15,442.65, 23,145.90 and 13,691

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Solution

The fourth proportional to 15,442.65, 23,145.90 and 13,691 is: 20,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.65 : 23,145.90 = 13,691 : x
  2. Step 2: Convert to fraction form
    15,442.65/23,145.90 = 13,691/x
  3. Step 3: Cross multiply
    15,442.65x = 23,145.90 × 13,691
  4. Step 4: Simplify right side
    15,442.65x = 316,890,516.90
  5. Step 5: Solve for x
    x = 316,890,516.90/15,442.65
  6. Step 6: Final answer
    x = 20,520.48

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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.