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Finding the Fourth Proportional to 2,505.41, 3,758.93 and 861.92

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Solution

The fourth proportional to 2,505.41, 3,758.93 and 861.92 is: 1,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.41 : 3,758.93 = 861.92 : x
  2. Step 2: Convert to fraction form
    2,505.41/3,758.93 = 861.92/x
  3. Step 3: Cross multiply
    2,505.41x = 3,758.93 × 861.92
  4. Step 4: Simplify right side
    2,505.41x = 3,239,896.95
  5. Step 5: Solve for x
    x = 3,239,896.95/2,505.41
  6. Step 6: Final answer
    x = 1,293.16

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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.