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Finding the Fourth Proportional to 38,397, 52,988.67 and 21,630

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Solution

The fourth proportional to 38,397, 52,988.67 and 21,630 is: 29,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,397 : 52,988.67 = 21,630 : x
  2. Step 2: Convert to fraction form
    38,397/52,988.67 = 21,630/x
  3. Step 3: Cross multiply
    38,397x = 52,988.67 × 21,630
  4. Step 4: Simplify right side
    38,397x = 1,146,144,932.10
  5. Step 5: Solve for x
    x = 1,146,144,932.10/38,397
  6. Step 6: Final answer
    x = 29,849.86

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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.