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Finding the Fourth Proportional to 13,731.76, 20,600.08 and 4,978.90

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Solution

The fourth proportional to 13,731.76, 20,600.08 and 4,978.90 is: 7,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.76 : 20,600.08 = 4,978.90 : x
  2. Step 2: Convert to fraction form
    13,731.76/20,600.08 = 4,978.90/x
  3. Step 3: Cross multiply
    13,731.76x = 20,600.08 × 4,978.90
  4. Step 4: Simplify right side
    13,731.76x = 102,565,738.31
  5. Step 5: Solve for x
    x = 102,565,738.31/13,731.76
  6. Step 6: Final answer
    x = 7,469.23

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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.