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Finding the Fourth Proportional to 3,282, 4,920.24 and 1,335.60

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Solution

The fourth proportional to 3,282, 4,920.24 and 1,335.60 is: 2,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,920.24 = 1,335.60 : x
  2. Step 2: Convert to fraction form
    3,282/4,920.24 = 1,335.60/x
  3. Step 3: Cross multiply
    3,282x = 4,920.24 × 1,335.60
  4. Step 4: Simplify right side
    3,282x = 6,571,472.54
  5. Step 5: Solve for x
    x = 6,571,472.54/3,282
  6. Step 6: Final answer
    x = 2,002.28

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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.