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Finding the Fourth Proportional to 2,609.11, 3,913.85 and 1,049.12

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Solution

The fourth proportional to 2,609.11, 3,913.85 and 1,049.12 is: 1,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.11 : 3,913.85 = 1,049.12 : x
  2. Step 2: Convert to fraction form
    2,609.11/3,913.85 = 1,049.12/x
  3. Step 3: Cross multiply
    2,609.11x = 3,913.85 × 1,049.12
  4. Step 4: Simplify right side
    2,609.11x = 4,106,079.13
  5. Step 5: Solve for x
    x = 4,106,079.13/2,609.11
  6. Step 6: Final answer
    x = 1,573.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.