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Finding the Fourth Proportional to 5,613.12, 7,745.76 and 3,256

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Solution

The fourth proportional to 5,613.12, 7,745.76 and 3,256 is: 4,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.12 : 7,745.76 = 3,256 : x
  2. Step 2: Convert to fraction form
    5,613.12/7,745.76 = 3,256/x
  3. Step 3: Cross multiply
    5,613.12x = 7,745.76 × 3,256
  4. Step 4: Simplify right side
    5,613.12x = 25,220,194.56
  5. Step 5: Solve for x
    x = 25,220,194.56/5,613.12
  6. Step 6: Final answer
    x = 4,493.08

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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.