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Finding the Fourth Proportional to 21,772.80, 32,659.20 and 6,983.28

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Solution

The fourth proportional to 21,772.80, 32,659.20 and 6,983.28 is: 10,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.80 : 32,659.20 = 6,983.28 : x
  2. Step 2: Convert to fraction form
    21,772.80/32,659.20 = 6,983.28/x
  3. Step 3: Cross multiply
    21,772.80x = 32,659.20 × 6,983.28
  4. Step 4: Simplify right side
    21,772.80x = 228,068,338.18
  5. Step 5: Solve for x
    x = 228,068,338.18/21,772.80
  6. Step 6: Final answer
    x = 10,474.92

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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.