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Finding the Fourth Proportional to 2,687.71, 4,031.57 and 1,455.70

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Solution

The fourth proportional to 2,687.71, 4,031.57 and 1,455.70 is: 2,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.71 : 4,031.57 = 1,455.70 : x
  2. Step 2: Convert to fraction form
    2,687.71/4,031.57 = 1,455.70/x
  3. Step 3: Cross multiply
    2,687.71x = 4,031.57 × 1,455.70
  4. Step 4: Simplify right side
    2,687.71x = 5,868,756.45
  5. Step 5: Solve for x
    x = 5,868,756.45/2,687.71
  6. Step 6: Final answer
    x = 2,183.55

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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.