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Finding the Fourth Proportional to 27,620, 38,119.20 and 16,442

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Solution

The fourth proportional to 27,620, 38,119.20 and 16,442 is: 22,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620 : 38,119.20 = 16,442 : x
  2. Step 2: Convert to fraction form
    27,620/38,119.20 = 16,442/x
  3. Step 3: Cross multiply
    27,620x = 38,119.20 × 16,442
  4. Step 4: Simplify right side
    27,620x = 626,755,886.40
  5. Step 5: Solve for x
    x = 626,755,886.40/27,620
  6. Step 6: Final answer
    x = 22,692.10

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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.