Home / 2,202.80-3,302.56-815.87

Finding the Fourth Proportional to 2,202.80, 3,302.56 and 815.87

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Solution

The fourth proportional to 2,202.80, 3,302.56 and 815.87 is: 1,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.80 : 3,302.56 = 815.87 : x
  2. Step 2: Convert to fraction form
    2,202.80/3,302.56 = 815.87/x
  3. Step 3: Cross multiply
    2,202.80x = 3,302.56 × 815.87
  4. Step 4: Simplify right side
    2,202.80x = 2,694,467.76
  5. Step 5: Solve for x
    x = 2,694,467.76/2,202.80
  6. Step 6: Final answer
    x = 1,223.20

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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.