Home / 2,982.20-4,474.11-902.12

Finding the Fourth Proportional to 2,982.20, 4,474.11 and 902.12

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Solution

The fourth proportional to 2,982.20, 4,474.11 and 902.12 is: 1,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.20 : 4,474.11 = 902.12 : x
  2. Step 2: Convert to fraction form
    2,982.20/4,474.11 = 902.12/x
  3. Step 3: Cross multiply
    2,982.20x = 4,474.11 × 902.12
  4. Step 4: Simplify right side
    2,982.20x = 4,036,184.11
  5. Step 5: Solve for x
    x = 4,036,184.11/2,982.20
  6. Step 6: Final answer
    x = 1,353.43

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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.