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Finding the Fourth Proportional to 7,101.88, 10,654 and 2,422.20

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Solution

The fourth proportional to 7,101.88, 10,654 and 2,422.20 is: 3,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.88 : 10,654 = 2,422.20 : x
  2. Step 2: Convert to fraction form
    7,101.88/10,654 = 2,422.20/x
  3. Step 3: Cross multiply
    7,101.88x = 10,654 × 2,422.20
  4. Step 4: Simplify right side
    7,101.88x = 25,806,118.80
  5. Step 5: Solve for x
    x = 25,806,118.80/7,101.88
  6. Step 6: Final answer
    x = 3,633.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.