Home / 2,275.90-3,414.93-815.20

Finding the Fourth Proportional to 2,275.90, 3,414.93 and 815.20

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Solution

The fourth proportional to 2,275.90, 3,414.93 and 815.20 is: 1,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.90 : 3,414.93 = 815.20 : x
  2. Step 2: Convert to fraction form
    2,275.90/3,414.93 = 815.20/x
  3. Step 3: Cross multiply
    2,275.90x = 3,414.93 × 815.20
  4. Step 4: Simplify right side
    2,275.90x = 2,783,850.94
  5. Step 5: Solve for x
    x = 2,783,850.94/2,275.90
  6. Step 6: Final answer
    x = 1,223.19

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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.