Home / 2,747.24-4,116-2,282.30

Finding the Fourth Proportional to 2,747.24, 4,116 and 2,282.30

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Solution

The fourth proportional to 2,747.24, 4,116 and 2,282.30 is: 3,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.24 : 4,116 = 2,282.30 : x
  2. Step 2: Convert to fraction form
    2,747.24/4,116 = 2,282.30/x
  3. Step 3: Cross multiply
    2,747.24x = 4,116 × 2,282.30
  4. Step 4: Simplify right side
    2,747.24x = 9,393,946.80
  5. Step 5: Solve for x
    x = 9,393,946.80/2,747.24
  6. Step 6: Final answer
    x = 3,419.41

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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.