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Finding the Fourth Proportional to 3,520.64, 5,282.13 and 1,180.88

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Solution

The fourth proportional to 3,520.64, 5,282.13 and 1,180.88 is: 1,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.64 : 5,282.13 = 1,180.88 : x
  2. Step 2: Convert to fraction form
    3,520.64/5,282.13 = 1,180.88/x
  3. Step 3: Cross multiply
    3,520.64x = 5,282.13 × 1,180.88
  4. Step 4: Simplify right side
    3,520.64x = 6,237,535.26
  5. Step 5: Solve for x
    x = 6,237,535.26/3,520.64
  6. Step 6: Final answer
    x = 1,771.70

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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.