Home / 2,209.64-3,049.22-1,424.13

Finding the Fourth Proportional to 2,209.64, 3,049.22 and 1,424.13

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Solution

The fourth proportional to 2,209.64, 3,049.22 and 1,424.13 is: 1,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.64 : 3,049.22 = 1,424.13 : x
  2. Step 2: Convert to fraction form
    2,209.64/3,049.22 = 1,424.13/x
  3. Step 3: Cross multiply
    2,209.64x = 3,049.22 × 1,424.13
  4. Step 4: Simplify right side
    2,209.64x = 4,342,478.56
  5. Step 5: Solve for x
    x = 4,342,478.56/2,209.64
  6. Step 6: Final answer
    x = 1,965.25

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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.