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Finding the Fourth Proportional to 21,304.80, 31,957.54 and 8,821.81

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Solution

The fourth proportional to 21,304.80, 31,957.54 and 8,821.81 is: 13,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.80 : 31,957.54 = 8,821.81 : x
  2. Step 2: Convert to fraction form
    21,304.80/31,957.54 = 8,821.81/x
  3. Step 3: Cross multiply
    21,304.80x = 31,957.54 × 8,821.81
  4. Step 4: Simplify right side
    21,304.80x = 281,923,363.84
  5. Step 5: Solve for x
    x = 281,923,363.84/21,304.80
  6. Step 6: Final answer
    x = 13,232.86

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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.