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Finding the Fourth Proportional to 21,612.80, 32,433.79 and 8,463.53

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Solution

The fourth proportional to 21,612.80, 32,433.79 and 8,463.53 is: 12,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.80 : 32,433.79 = 8,463.53 : x
  2. Step 2: Convert to fraction form
    21,612.80/32,433.79 = 8,463.53/x
  3. Step 3: Cross multiply
    21,612.80x = 32,433.79 × 8,463.53
  4. Step 4: Simplify right side
    21,612.80x = 274,504,414.60
  5. Step 5: Solve for x
    x = 274,504,414.60/21,612.80
  6. Step 6: Final answer
    x = 12,701.01

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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.