Home / 2,782.08-3,839.12-1,540

Finding the Fourth Proportional to 2,782.08, 3,839.12 and 1,540

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Solution

The fourth proportional to 2,782.08, 3,839.12 and 1,540 is: 2,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.08 : 3,839.12 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,782.08/3,839.12 = 1,540/x
  3. Step 3: Cross multiply
    2,782.08x = 3,839.12 × 1,540
  4. Step 4: Simplify right side
    2,782.08x = 5,912,244.80
  5. Step 5: Solve for x
    x = 5,912,244.80/2,782.08
  6. Step 6: Final answer
    x = 2,125.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.