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Finding the Fourth Proportional to 2,691.90, 4,037.67 and 1,300.95

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Solution

The fourth proportional to 2,691.90, 4,037.67 and 1,300.95 is: 1,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.90 : 4,037.67 = 1,300.95 : x
  2. Step 2: Convert to fraction form
    2,691.90/4,037.67 = 1,300.95/x
  3. Step 3: Cross multiply
    2,691.90x = 4,037.67 × 1,300.95
  4. Step 4: Simplify right side
    2,691.90x = 5,252,806.79
  5. Step 5: Solve for x
    x = 5,252,806.79/2,691.90
  6. Step 6: Final answer
    x = 1,951.34

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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.