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Finding the Fourth Proportional to 3,241.95, 4,863.01 and 902.13

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Solution

The fourth proportional to 3,241.95, 4,863.01 and 902.13 is: 1,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.95 : 4,863.01 = 902.13 : x
  2. Step 2: Convert to fraction form
    3,241.95/4,863.01 = 902.13/x
  3. Step 3: Cross multiply
    3,241.95x = 4,863.01 × 902.13
  4. Step 4: Simplify right side
    3,241.95x = 4,387,067.21
  5. Step 5: Solve for x
    x = 4,387,067.21/3,241.95
  6. Step 6: Final answer
    x = 1,353.22

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1.5x scale

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.