Home / 2,202.31-3,303.26-815.66

Finding the Fourth Proportional to 2,202.31, 3,303.26 and 815.66

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Solution

The fourth proportional to 2,202.31, 3,303.26 and 815.66 is: 1,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.31 : 3,303.26 = 815.66 : x
  2. Step 2: Convert to fraction form
    2,202.31/3,303.26 = 815.66/x
  3. Step 3: Cross multiply
    2,202.31x = 3,303.26 × 815.66
  4. Step 4: Simplify right side
    2,202.31x = 2,694,337.05
  5. Step 5: Solve for x
    x = 2,694,337.05/2,202.31
  6. Step 6: Final answer
    x = 1,223.41

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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.