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Finding the Fourth Proportional to 15,609.10, 23,372.12 and 12,197.88

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Solution

The fourth proportional to 15,609.10, 23,372.12 and 12,197.88 is: 18,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609.10 : 23,372.12 = 12,197.88 : x
  2. Step 2: Convert to fraction form
    15,609.10/23,372.12 = 12,197.88/x
  3. Step 3: Cross multiply
    15,609.10x = 23,372.12 × 12,197.88
  4. Step 4: Simplify right side
    15,609.10x = 285,090,387.50
  5. Step 5: Solve for x
    x = 285,090,387.50/15,609.10
  6. Step 6: Final answer
    x = 18,264.37

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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.