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Finding the Fourth Proportional to 13,658.20, 20,489 and 4,893.12

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Solution

The fourth proportional to 13,658.20, 20,489 and 4,893.12 is: 7,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.20 : 20,489 = 4,893.12 : x
  2. Step 2: Convert to fraction form
    13,658.20/20,489 = 4,893.12/x
  3. Step 3: Cross multiply
    13,658.20x = 20,489 × 4,893.12
  4. Step 4: Simplify right side
    13,658.20x = 100,255,135.68
  5. Step 5: Solve for x
    x = 100,255,135.68/13,658.20
  6. Step 6: Final answer
    x = 7,340.29

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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.