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Finding the Fourth Proportional to 18,436, 25,432.92 and 12,469.76

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Solution

The fourth proportional to 18,436, 25,432.92 and 12,469.76 is: 17,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,436 : 25,432.92 = 12,469.76 : x
  2. Step 2: Convert to fraction form
    18,436/25,432.92 = 12,469.76/x
  3. Step 3: Cross multiply
    18,436x = 25,432.92 × 12,469.76
  4. Step 4: Simplify right side
    18,436x = 317,142,408.50
  5. Step 5: Solve for x
    x = 317,142,408.50/18,436
  6. Step 6: Final answer
    x = 17,202.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.