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Finding the Fourth Proportional to 38,398, 52,990.05 and 21,631

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Solution

The fourth proportional to 38,398, 52,990.05 and 21,631 is: 29,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398 : 52,990.05 = 21,631 : x
  2. Step 2: Convert to fraction form
    38,398/52,990.05 = 21,631/x
  3. Step 3: Cross multiply
    38,398x = 52,990.05 × 21,631
  4. Step 4: Simplify right side
    38,398x = 1,146,227,771.55
  5. Step 5: Solve for x
    x = 1,146,227,771.55/38,398
  6. Step 6: Final answer
    x = 29,851.24

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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.