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Finding the Fourth Proportional to 2,674.57, 3,691.02 and 1,679.08

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Solution

The fourth proportional to 2,674.57, 3,691.02 and 1,679.08 is: 2,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.57 : 3,691.02 = 1,679.08 : x
  2. Step 2: Convert to fraction form
    2,674.57/3,691.02 = 1,679.08/x
  3. Step 3: Cross multiply
    2,674.57x = 3,691.02 × 1,679.08
  4. Step 4: Simplify right side
    2,674.57x = 6,197,517.86
  5. Step 5: Solve for x
    x = 6,197,517.86/2,674.57
  6. Step 6: Final answer
    x = 2,317.20

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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.