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Finding the Fourth Proportional to 2,078.87, 2,868.02 and 1,371.08

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Solution

The fourth proportional to 2,078.87, 2,868.02 and 1,371.08 is: 1,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.87 : 2,868.02 = 1,371.08 : x
  2. Step 2: Convert to fraction form
    2,078.87/2,868.02 = 1,371.08/x
  3. Step 3: Cross multiply
    2,078.87x = 2,868.02 × 1,371.08
  4. Step 4: Simplify right side
    2,078.87x = 3,932,281.90
  5. Step 5: Solve for x
    x = 3,932,281.90/2,078.87
  6. Step 6: Final answer
    x = 1,891.55

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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.