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Finding the Fourth Proportional to 3,697.80, 5,098.20 and 2,636.78

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Solution

The fourth proportional to 3,697.80, 5,098.20 and 2,636.78 is: 3,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.80 : 5,098.20 = 2,636.78 : x
  2. Step 2: Convert to fraction form
    3,697.80/5,098.20 = 2,636.78/x
  3. Step 3: Cross multiply
    3,697.80x = 5,098.20 × 2,636.78
  4. Step 4: Simplify right side
    3,697.80x = 13,442,806.31
  5. Step 5: Solve for x
    x = 13,442,806.31/3,697.80
  6. Step 6: Final answer
    x = 3,635.35

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1.5x scale

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.