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Finding the Fourth Proportional to 20,772.80, 31,159.20 and 6,921.80

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Solution

The fourth proportional to 20,772.80, 31,159.20 and 6,921.80 is: 10,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.80 : 31,159.20 = 6,921.80 : x
  2. Step 2: Convert to fraction form
    20,772.80/31,159.20 = 6,921.80/x
  3. Step 3: Cross multiply
    20,772.80x = 31,159.20 × 6,921.80
  4. Step 4: Simplify right side
    20,772.80x = 215,677,750.56
  5. Step 5: Solve for x
    x = 215,677,750.56/20,772.80
  6. Step 6: Final answer
    x = 10,382.70

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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.