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Finding the Fourth Proportional to 27,534.80, 38,002.20 and 22,213.10

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Solution

The fourth proportional to 27,534.80, 38,002.20 and 22,213.10 is: 30,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.80 : 38,002.20 = 22,213.10 : x
  2. Step 2: Convert to fraction form
    27,534.80/38,002.20 = 22,213.10/x
  3. Step 3: Cross multiply
    27,534.80x = 38,002.20 × 22,213.10
  4. Step 4: Simplify right side
    27,534.80x = 844,146,668.82
  5. Step 5: Solve for x
    x = 844,146,668.82/27,534.80
  6. Step 6: Final answer
    x = 30,657.45

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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.