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Finding the Fourth Proportional to 22,591.24, 31,173.42 and 12,519.40

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Solution

The fourth proportional to 22,591.24, 31,173.42 and 12,519.40 is: 17,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.24 : 31,173.42 = 12,519.40 : x
  2. Step 2: Convert to fraction form
    22,591.24/31,173.42 = 12,519.40/x
  3. Step 3: Cross multiply
    22,591.24x = 31,173.42 × 12,519.40
  4. Step 4: Simplify right side
    22,591.24x = 390,272,514.35
  5. Step 5: Solve for x
    x = 390,272,514.35/22,591.24
  6. Step 6: Final answer
    x = 17,275.39

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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.