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Finding the Fourth Proportional to 2,282.78, 3,424.20 and 821.90

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Solution

The fourth proportional to 2,282.78, 3,424.20 and 821.90 is: 1,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.78 : 3,424.20 = 821.90 : x
  2. Step 2: Convert to fraction form
    2,282.78/3,424.20 = 821.90/x
  3. Step 3: Cross multiply
    2,282.78x = 3,424.20 × 821.90
  4. Step 4: Simplify right side
    2,282.78x = 2,814,349.98
  5. Step 5: Solve for x
    x = 2,814,349.98/2,282.78
  6. Step 6: Final answer
    x = 1,232.86

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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.