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Finding the Fourth Proportional to 2,862.54, 3,951.05 and 1,867.86

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Solution

The fourth proportional to 2,862.54, 3,951.05 and 1,867.86 is: 2,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.54 : 3,951.05 = 1,867.86 : x
  2. Step 2: Convert to fraction form
    2,862.54/3,951.05 = 1,867.86/x
  3. Step 3: Cross multiply
    2,862.54x = 3,951.05 × 1,867.86
  4. Step 4: Simplify right side
    2,862.54x = 7,379,998.91
  5. Step 5: Solve for x
    x = 7,379,998.91/2,862.54
  6. Step 6: Final answer
    x = 2,578.13

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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.