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Finding the Fourth Proportional to 2,275.87, 3,414.42 and 815.14

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Solution

The fourth proportional to 2,275.87, 3,414.42 and 815.14 is: 1,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.87 : 3,414.42 = 815.14 : x
  2. Step 2: Convert to fraction form
    2,275.87/3,414.42 = 815.14/x
  3. Step 3: Cross multiply
    2,275.87x = 3,414.42 × 815.14
  4. Step 4: Simplify right side
    2,275.87x = 2,783,230.32
  5. Step 5: Solve for x
    x = 2,783,230.32/2,275.87
  6. Step 6: Final answer
    x = 1,222.93

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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.