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Finding the Fourth Proportional to 2,675.61, 3,691.73 and 1,613.10

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Solution

The fourth proportional to 2,675.61, 3,691.73 and 1,613.10 is: 2,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.61 : 3,691.73 = 1,613.10 : x
  2. Step 2: Convert to fraction form
    2,675.61/3,691.73 = 1,613.10/x
  3. Step 3: Cross multiply
    2,675.61x = 3,691.73 × 1,613.10
  4. Step 4: Simplify right side
    2,675.61x = 5,955,121.60
  5. Step 5: Solve for x
    x = 5,955,121.60/2,675.61
  6. Step 6: Final answer
    x = 2,225.71

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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.