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Finding the Fourth Proportional to 2,079.26, 2,869.26 and 1,147.76

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Solution

The fourth proportional to 2,079.26, 2,869.26 and 1,147.76 is: 1,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.26 : 2,869.26 = 1,147.76 : x
  2. Step 2: Convert to fraction form
    2,079.26/2,869.26 = 1,147.76/x
  3. Step 3: Cross multiply
    2,079.26x = 2,869.26 × 1,147.76
  4. Step 4: Simplify right side
    2,079.26x = 3,293,221.86
  5. Step 5: Solve for x
    x = 3,293,221.86/2,079.26
  6. Step 6: Final answer
    x = 1,583.84

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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.