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Finding the Fourth Proportional to 3,488.96, 5,232.80 and 1,540.80

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Solution

The fourth proportional to 3,488.96, 5,232.80 and 1,540.80 is: 2,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.96 : 5,232.80 = 1,540.80 : x
  2. Step 2: Convert to fraction form
    3,488.96/5,232.80 = 1,540.80/x
  3. Step 3: Cross multiply
    3,488.96x = 5,232.80 × 1,540.80
  4. Step 4: Simplify right side
    3,488.96x = 8,062,698.24
  5. Step 5: Solve for x
    x = 8,062,698.24/3,488.96
  6. Step 6: Final answer
    x = 2,310.92

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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.