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Finding the Fourth Proportional to 20,264.80, 27,978.06 and 13,098.46

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Solution

The fourth proportional to 20,264.80, 27,978.06 and 13,098.46 is: 18,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.80 : 27,978.06 = 13,098.46 : x
  2. Step 2: Convert to fraction form
    20,264.80/27,978.06 = 13,098.46/x
  3. Step 3: Cross multiply
    20,264.80x = 27,978.06 × 13,098.46
  4. Step 4: Simplify right side
    20,264.80x = 366,469,499.79
  5. Step 5: Solve for x
    x = 366,469,499.79/20,264.80
  6. Step 6: Final answer
    x = 18,084.04

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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.