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Finding the Fourth Proportional to 2,079.05, 3,115.87 and 845.02

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Solution

The fourth proportional to 2,079.05, 3,115.87 and 845.02 is: 1,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.05 : 3,115.87 = 845.02 : x
  2. Step 2: Convert to fraction form
    2,079.05/3,115.87 = 845.02/x
  3. Step 3: Cross multiply
    2,079.05x = 3,115.87 × 845.02
  4. Step 4: Simplify right side
    2,079.05x = 2,632,972.47
  5. Step 5: Solve for x
    x = 2,632,972.47/2,079.05
  6. Step 6: Final answer
    x = 1,266.43

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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.