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Finding the Fourth Proportional to 13,658.17, 20,489.41 and 4,892.89

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Solution

The fourth proportional to 13,658.17, 20,489.41 and 4,892.89 is: 7,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.17 : 20,489.41 = 4,892.89 : x
  2. Step 2: Convert to fraction form
    13,658.17/20,489.41 = 4,892.89/x
  3. Step 3: Cross multiply
    13,658.17x = 20,489.41 × 4,892.89
  4. Step 4: Simplify right side
    13,658.17x = 100,252,429.29
  5. Step 5: Solve for x
    x = 100,252,429.29/13,658.17
  6. Step 6: Final answer
    x = 7,340.11

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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.