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Finding the Fourth Proportional to 2,409, 3,613.44 and 765.64

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Solution

The fourth proportional to 2,409, 3,613.44 and 765.64 is: 1,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409 : 3,613.44 = 765.64 : x
  2. Step 2: Convert to fraction form
    2,409/3,613.44 = 765.64/x
  3. Step 3: Cross multiply
    2,409x = 3,613.44 × 765.64
  4. Step 4: Simplify right side
    2,409x = 2,766,594.20
  5. Step 5: Solve for x
    x = 2,766,594.20/2,409
  6. Step 6: Final answer
    x = 1,148.44

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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.