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Finding the Fourth Proportional to 2,591.80, 3,886.27 and 1,771

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Solution

The fourth proportional to 2,591.80, 3,886.27 and 1,771 is: 2,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.80 : 3,886.27 = 1,771 : x
  2. Step 2: Convert to fraction form
    2,591.80/3,886.27 = 1,771/x
  3. Step 3: Cross multiply
    2,591.80x = 3,886.27 × 1,771
  4. Step 4: Simplify right side
    2,591.80x = 6,882,584.17
  5. Step 5: Solve for x
    x = 6,882,584.17/2,591.80
  6. Step 6: Final answer
    x = 2,655.52

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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.