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Finding the Fourth Proportional to 21,369.78, 32,052.42 and 8,881.92

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Solution

The fourth proportional to 21,369.78, 32,052.42 and 8,881.92 is: 13,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369.78 : 32,052.42 = 8,881.92 : x
  2. Step 2: Convert to fraction form
    21,369.78/32,052.42 = 8,881.92/x
  3. Step 3: Cross multiply
    21,369.78x = 32,052.42 × 8,881.92
  4. Step 4: Simplify right side
    21,369.78x = 284,687,030.25
  5. Step 5: Solve for x
    x = 284,687,030.25/21,369.78
  6. Step 6: Final answer
    x = 13,321.94

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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.