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Finding the Fourth Proportional to 3,460.88, 5,195 and 1,613.80

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Solution

The fourth proportional to 3,460.88, 5,195 and 1,613.80 is: 2,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.88 : 5,195 = 1,613.80 : x
  2. Step 2: Convert to fraction form
    3,460.88/5,195 = 1,613.80/x
  3. Step 3: Cross multiply
    3,460.88x = 5,195 × 1,613.80
  4. Step 4: Simplify right side
    3,460.88x = 8,383,691
  5. Step 5: Solve for x
    x = 8,383,691/3,460.88
  6. Step 6: Final answer
    x = 2,422.42

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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.