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Finding the Fourth Proportional to 1,249.54, 1,871.87 and 815.38

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Solution

The fourth proportional to 1,249.54, 1,871.87 and 815.38 is: 1,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.54 : 1,871.87 = 815.38 : x
  2. Step 2: Convert to fraction form
    1,249.54/1,871.87 = 815.38/x
  3. Step 3: Cross multiply
    1,249.54x = 1,871.87 × 815.38
  4. Step 4: Simplify right side
    1,249.54x = 1,526,285.36
  5. Step 5: Solve for x
    x = 1,526,285.36/1,249.54
  6. Step 6: Final answer
    x = 1,221.48

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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.