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Finding the Fourth Proportional to 2,079.03, 2,869.10 and 1,147.53

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Solution

The fourth proportional to 2,079.03, 2,869.10 and 1,147.53 is: 1,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.03 : 2,869.10 = 1,147.53 : x
  2. Step 2: Convert to fraction form
    2,079.03/2,869.10 = 1,147.53/x
  3. Step 3: Cross multiply
    2,079.03x = 2,869.10 × 1,147.53
  4. Step 4: Simplify right side
    2,079.03x = 3,292,372.59
  5. Step 5: Solve for x
    x = 3,292,372.59/2,079.03
  6. Step 6: Final answer
    x = 1,583.61

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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.