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Finding the Fourth Proportional to 39,342, 54,291.96 and 21,678

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Solution

The fourth proportional to 39,342, 54,291.96 and 21,678 is: 29,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,342 : 54,291.96 = 21,678 : x
  2. Step 2: Convert to fraction form
    39,342/54,291.96 = 21,678/x
  3. Step 3: Cross multiply
    39,342x = 54,291.96 × 21,678
  4. Step 4: Simplify right side
    39,342x = 1,176,941,108.88
  5. Step 5: Solve for x
    x = 1,176,941,108.88/39,342
  6. Step 6: Final answer
    x = 29,915.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.