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Finding the Fourth Proportional to 21,729.27, 32,569.05 and 9,230.97

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Solution

The fourth proportional to 21,729.27, 32,569.05 and 9,230.97 is: 13,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.27 : 32,569.05 = 9,230.97 : x
  2. Step 2: Convert to fraction form
    21,729.27/32,569.05 = 9,230.97/x
  3. Step 3: Cross multiply
    21,729.27x = 32,569.05 × 9,230.97
  4. Step 4: Simplify right side
    21,729.27x = 300,643,923.48
  5. Step 5: Solve for x
    x = 300,643,923.48/21,729.27
  6. Step 6: Final answer
    x = 13,835.90

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1.5x scale

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.