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Finding the Fourth Proportional to 3,280.48, 4,920.24 and 1,228

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Solution

The fourth proportional to 3,280.48, 4,920.24 and 1,228 is: 1,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.48 : 4,920.24 = 1,228 : x
  2. Step 2: Convert to fraction form
    3,280.48/4,920.24 = 1,228/x
  3. Step 3: Cross multiply
    3,280.48x = 4,920.24 × 1,228
  4. Step 4: Simplify right side
    3,280.48x = 6,042,054.72
  5. Step 5: Solve for x
    x = 6,042,054.72/3,280.48
  6. Step 6: Final answer
    x = 1,841.82

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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.