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Finding the Fourth Proportional to 13,978.08, 20,921.76 and 10,279.44

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Solution

The fourth proportional to 13,978.08, 20,921.76 and 10,279.44 is: 15,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.08 : 20,921.76 = 10,279.44 : x
  2. Step 2: Convert to fraction form
    13,978.08/20,921.76 = 10,279.44/x
  3. Step 3: Cross multiply
    13,978.08x = 20,921.76 × 10,279.44
  4. Step 4: Simplify right side
    13,978.08x = 215,063,976.61
  5. Step 5: Solve for x
    x = 215,063,976.61/13,978.08
  6. Step 6: Final answer
    x = 15,385.80

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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.