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Finding the Fourth Proportional to 2,202.16, 3,302.70 and 904

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Solution

The fourth proportional to 2,202.16, 3,302.70 and 904 is: 1,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.16 : 3,302.70 = 904 : x
  2. Step 2: Convert to fraction form
    2,202.16/3,302.70 = 904/x
  3. Step 3: Cross multiply
    2,202.16x = 3,302.70 × 904
  4. Step 4: Simplify right side
    2,202.16x = 2,985,640.80
  5. Step 5: Solve for x
    x = 2,985,640.80/2,202.16
  6. Step 6: Final answer
    x = 1,355.78

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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.