Home / 2,209.68-3,049.02-1,278

Finding the Fourth Proportional to 2,209.68, 3,049.02 and 1,278

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Solution

The fourth proportional to 2,209.68, 3,049.02 and 1,278 is: 1,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.68 : 3,049.02 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,209.68/3,049.02 = 1,278/x
  3. Step 3: Cross multiply
    2,209.68x = 3,049.02 × 1,278
  4. Step 4: Simplify right side
    2,209.68x = 3,896,647.56
  5. Step 5: Solve for x
    x = 3,896,647.56/2,209.68
  6. Step 6: Final answer
    x = 1,763.44

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Why These Related Problems?

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