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Finding the Fourth Proportional to 1,493.38, 2,060.86 and 872.38

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Solution

The fourth proportional to 1,493.38, 2,060.86 and 872.38 is: 1,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.38 : 2,060.86 = 872.38 : x
  2. Step 2: Convert to fraction form
    1,493.38/2,060.86 = 872.38/x
  3. Step 3: Cross multiply
    1,493.38x = 2,060.86 × 872.38
  4. Step 4: Simplify right side
    1,493.38x = 1,797,842.74
  5. Step 5: Solve for x
    x = 1,797,842.74/1,493.38
  6. Step 6: Final answer
    x = 1,203.88

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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.