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Finding the Fourth Proportional to 1,613.93, 2,228 and 1,082.62

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Solution

The fourth proportional to 1,613.93, 2,228 and 1,082.62 is: 1,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.93 : 2,228 = 1,082.62 : x
  2. Step 2: Convert to fraction form
    1,613.93/2,228 = 1,082.62/x
  3. Step 3: Cross multiply
    1,613.93x = 2,228 × 1,082.62
  4. Step 4: Simplify right side
    1,613.93x = 2,412,077.36
  5. Step 5: Solve for x
    x = 2,412,077.36/1,613.93
  6. Step 6: Final answer
    x = 1,494.54

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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.