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Finding the Fourth Proportional to 2,209.99, 3,049.17 and 1,424.49

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Solution

The fourth proportional to 2,209.99, 3,049.17 and 1,424.49 is: 1,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.99 : 3,049.17 = 1,424.49 : x
  2. Step 2: Convert to fraction form
    2,209.99/3,049.17 = 1,424.49/x
  3. Step 3: Cross multiply
    2,209.99x = 3,049.17 × 1,424.49
  4. Step 4: Simplify right side
    2,209.99x = 4,343,512.17
  5. Step 5: Solve for x
    x = 4,343,512.17/2,209.99
  6. Step 6: Final answer
    x = 1,965.40

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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.