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Finding the Fourth Proportional to 2,862.54, 4,281.95 and 2,687.58

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Solution

The fourth proportional to 2,862.54, 4,281.95 and 2,687.58 is: 4,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.54 : 4,281.95 = 2,687.58 : x
  2. Step 2: Convert to fraction form
    2,862.54/4,281.95 = 2,687.58/x
  3. Step 3: Cross multiply
    2,862.54x = 4,281.95 × 2,687.58
  4. Step 4: Simplify right side
    2,862.54x = 11,508,069.74
  5. Step 5: Solve for x
    x = 11,508,069.74/2,862.54
  6. Step 6: Final answer
    x = 4,020.23

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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.