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Finding the Fourth Proportional to 2,049.76, 2,829.09 and 1,253.22

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Solution

The fourth proportional to 2,049.76, 2,829.09 and 1,253.22 is: 1,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.76 : 2,829.09 = 1,253.22 : x
  2. Step 2: Convert to fraction form
    2,049.76/2,829.09 = 1,253.22/x
  3. Step 3: Cross multiply
    2,049.76x = 2,829.09 × 1,253.22
  4. Step 4: Simplify right side
    2,049.76x = 3,545,472.17
  5. Step 5: Solve for x
    x = 3,545,472.17/2,049.76
  6. Step 6: Final answer
    x = 1,729.70

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1.5x scale

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.