Home / 3,731.14-5,597.82-1,540

Finding the Fourth Proportional to 3,731.14, 5,597.82 and 1,540

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Solution

The fourth proportional to 3,731.14, 5,597.82 and 1,540 is: 2,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.14 : 5,597.82 = 1,540 : x
  2. Step 2: Convert to fraction form
    3,731.14/5,597.82 = 1,540/x
  3. Step 3: Cross multiply
    3,731.14x = 5,597.82 × 1,540
  4. Step 4: Simplify right side
    3,731.14x = 8,620,642.80
  5. Step 5: Solve for x
    x = 8,620,642.80/3,731.14
  6. Step 6: Final answer
    x = 2,310.46

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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.