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Finding the Fourth Proportional to 1,249.54, 1,871.79 and 1,147.48

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Solution

The fourth proportional to 1,249.54, 1,871.79 and 1,147.48 is: 1,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.54 : 1,871.79 = 1,147.48 : x
  2. Step 2: Convert to fraction form
    1,249.54/1,871.79 = 1,147.48/x
  3. Step 3: Cross multiply
    1,249.54x = 1,871.79 × 1,147.48
  4. Step 4: Simplify right side
    1,249.54x = 2,147,841.59
  5. Step 5: Solve for x
    x = 2,147,841.59/1,249.54
  6. Step 6: Final answer
    x = 1,718.91

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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.