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Finding the Fourth Proportional to 2,202.08, 3,302.46 and 642.20

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Solution

The fourth proportional to 2,202.08, 3,302.46 and 642.20 is: 963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.08 : 3,302.46 = 642.20 : x
  2. Step 2: Convert to fraction form
    2,202.08/3,302.46 = 642.20/x
  3. Step 3: Cross multiply
    2,202.08x = 3,302.46 × 642.20
  4. Step 4: Simplify right side
    2,202.08x = 2,120,839.81
  5. Step 5: Solve for x
    x = 2,120,839.81/2,202.08
  6. Step 6: Final answer
    x = 963.11

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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.