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Finding the Fourth Proportional to 2,862.95, 3,951.32 and 2,788.02

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Solution

The fourth proportional to 2,862.95, 3,951.32 and 2,788.02 is: 3,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.95 : 3,951.32 = 2,788.02 : x
  2. Step 2: Convert to fraction form
    2,862.95/3,951.32 = 2,788.02/x
  3. Step 3: Cross multiply
    2,862.95x = 3,951.32 × 2,788.02
  4. Step 4: Simplify right side
    2,862.95x = 11,016,345.25
  5. Step 5: Solve for x
    x = 11,016,345.25/2,862.95
  6. Step 6: Final answer
    x = 3,847.91

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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.