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Finding the Fourth Proportional to 18,442, 25,449.96 and 10,990

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Solution

The fourth proportional to 18,442, 25,449.96 and 10,990 is: 15,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442 : 25,449.96 = 10,990 : x
  2. Step 2: Convert to fraction form
    18,442/25,449.96 = 10,990/x
  3. Step 3: Cross multiply
    18,442x = 25,449.96 × 10,990
  4. Step 4: Simplify right side
    18,442x = 279,695,060.40
  5. Step 5: Solve for x
    x = 279,695,060.40/18,442
  6. Step 6: Final answer
    x = 15,166.20

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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.