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Finding the Fourth Proportional to 3,442.84, 5,164.21 and 845.75

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Solution

The fourth proportional to 3,442.84, 5,164.21 and 845.75 is: 1,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.84 : 5,164.21 = 845.75 : x
  2. Step 2: Convert to fraction form
    3,442.84/5,164.21 = 845.75/x
  3. Step 3: Cross multiply
    3,442.84x = 5,164.21 × 845.75
  4. Step 4: Simplify right side
    3,442.84x = 4,367,626.38
  5. Step 5: Solve for x
    x = 4,367,626.38/3,442.84
  6. Step 6: Final answer
    x = 1,268.61

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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.