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Finding the Fourth Proportional to 38,389.52, 57,584.28 and 21,962

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Solution

The fourth proportional to 38,389.52, 57,584.28 and 21,962 is: 32,943

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,389.52 : 57,584.28 = 21,962 : x
  2. Step 2: Convert to fraction form
    38,389.52/57,584.28 = 21,962/x
  3. Step 3: Cross multiply
    38,389.52x = 57,584.28 × 21,962
  4. Step 4: Simplify right side
    38,389.52x = 1,264,665,957.36
  5. Step 5: Solve for x
    x = 1,264,665,957.36/38,389.52
  6. Step 6: Final answer
    x = 32,943

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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.