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Finding the Fourth Proportional to 3,540.68, 5,310.68 and 1,075.52

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Solution

The fourth proportional to 3,540.68, 5,310.68 and 1,075.52 is: 1,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.68 : 5,310.68 = 1,075.52 : x
  2. Step 2: Convert to fraction form
    3,540.68/5,310.68 = 1,075.52/x
  3. Step 3: Cross multiply
    3,540.68x = 5,310.68 × 1,075.52
  4. Step 4: Simplify right side
    3,540.68x = 5,711,750.45
  5. Step 5: Solve for x
    x = 5,711,750.45/3,540.68
  6. Step 6: Final answer
    x = 1,613.18

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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.