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Finding the Fourth Proportional to 3,712.80, 5,565.60 and 3,324

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Solution

The fourth proportional to 3,712.80, 5,565.60 and 3,324 is: 4,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.80 : 5,565.60 = 3,324 : x
  2. Step 2: Convert to fraction form
    3,712.80/5,565.60 = 3,324/x
  3. Step 3: Cross multiply
    3,712.80x = 5,565.60 × 3,324
  4. Step 4: Simplify right side
    3,712.80x = 18,500,054.40
  5. Step 5: Solve for x
    x = 18,500,054.40/3,712.80
  6. Step 6: Final answer
    x = 4,982.78

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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.