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Finding the Fourth Proportional to 2,275.78, 3,415.20 and 814.90

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Solution

The fourth proportional to 2,275.78, 3,415.20 and 814.90 is: 1,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.78 : 3,415.20 = 814.90 : x
  2. Step 2: Convert to fraction form
    2,275.78/3,415.20 = 814.90/x
  3. Step 3: Cross multiply
    2,275.78x = 3,415.20 × 814.90
  4. Step 4: Simplify right side
    2,275.78x = 2,783,046.48
  5. Step 5: Solve for x
    x = 2,783,046.48/2,275.78
  6. Step 6: Final answer
    x = 1,222.90

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1.5x scale

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.