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Finding the Fourth Proportional to 3,308.60, 4,962.92 and 843.42

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Solution

The fourth proportional to 3,308.60, 4,962.92 and 843.42 is: 1,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.60 : 4,962.92 = 843.42 : x
  2. Step 2: Convert to fraction form
    3,308.60/4,962.92 = 843.42/x
  3. Step 3: Cross multiply
    3,308.60x = 4,962.92 × 843.42
  4. Step 4: Simplify right side
    3,308.60x = 4,185,825.99
  5. Step 5: Solve for x
    x = 4,185,825.99/3,308.60
  6. Step 6: Final answer
    x = 1,265.14

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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.