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Finding the Fourth Proportional to 2,639.95, 3,641.43 and 1,591

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Solution

The fourth proportional to 2,639.95, 3,641.43 and 1,591 is: 2,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.95 : 3,641.43 = 1,591 : x
  2. Step 2: Convert to fraction form
    2,639.95/3,641.43 = 1,591/x
  3. Step 3: Cross multiply
    2,639.95x = 3,641.43 × 1,591
  4. Step 4: Simplify right side
    2,639.95x = 5,793,515.13
  5. Step 5: Solve for x
    x = 5,793,515.13/2,639.95
  6. Step 6: Final answer
    x = 2,194.55

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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.