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Finding the Fourth Proportional to 38,665, 57,988.38 and 21,805.26

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Solution

The fourth proportional to 38,665, 57,988.38 and 21,805.26 is: 32,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665 : 57,988.38 = 21,805.26 : x
  2. Step 2: Convert to fraction form
    38,665/57,988.38 = 21,805.26/x
  3. Step 3: Cross multiply
    38,665x = 57,988.38 × 21,805.26
  4. Step 4: Simplify right side
    38,665x = 1,264,451,702.88
  5. Step 5: Solve for x
    x = 1,264,451,702.88/38,665
  6. Step 6: Final answer
    x = 32,702.75

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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.