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Finding the Fourth Proportional to 2,202.09, 3,302.98 and 642.03

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Solution

The fourth proportional to 2,202.09, 3,302.98 and 642.03 is: 963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.09 : 3,302.98 = 642.03 : x
  2. Step 2: Convert to fraction form
    2,202.09/3,302.98 = 642.03/x
  3. Step 3: Cross multiply
    2,202.09x = 3,302.98 × 642.03
  4. Step 4: Simplify right side
    2,202.09x = 2,120,598.26
  5. Step 5: Solve for x
    x = 2,120,598.26/2,202.09
  6. Step 6: Final answer
    x = 963.00

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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.