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Finding the Fourth Proportional to 38,151, 52,650 and 21,384

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Solution

The fourth proportional to 38,151, 52,650 and 21,384 is: 29,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,151 : 52,650 = 21,384 : x
  2. Step 2: Convert to fraction form
    38,151/52,650 = 21,384/x
  3. Step 3: Cross multiply
    38,151x = 52,650 × 21,384
  4. Step 4: Simplify right side
    38,151x = 1,125,867,600
  5. Step 5: Solve for x
    x = 1,125,867,600/38,151
  6. Step 6: Final answer
    x = 29,510.83

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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.