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Finding the Fourth Proportional to 3,442.33, 5,163.51 and 845.27

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Solution

The fourth proportional to 3,442.33, 5,163.51 and 845.27 is: 1,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.33 : 5,163.51 = 845.27 : x
  2. Step 2: Convert to fraction form
    3,442.33/5,163.51 = 845.27/x
  3. Step 3: Cross multiply
    3,442.33x = 5,163.51 × 845.27
  4. Step 4: Simplify right side
    3,442.33x = 4,364,560.10
  5. Step 5: Solve for x
    x = 4,364,560.10/3,442.33
  6. Step 6: Final answer
    x = 1,267.91

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Similar ratio
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1.5x scale

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.