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Finding the Fourth Proportional to 2,280.62, 3,420.80 and 963.82

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Solution

The fourth proportional to 2,280.62, 3,420.80 and 963.82 is: 1,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.62 : 3,420.80 = 963.82 : x
  2. Step 2: Convert to fraction form
    2,280.62/3,420.80 = 963.82/x
  3. Step 3: Cross multiply
    2,280.62x = 3,420.80 × 963.82
  4. Step 4: Simplify right side
    2,280.62x = 3,297,035.46
  5. Step 5: Solve for x
    x = 3,297,035.46/2,280.62
  6. Step 6: Final answer
    x = 1,445.68

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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.