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Finding the Fourth Proportional to 3,431.22, 5,146.74 and 966.21

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Solution

The fourth proportional to 3,431.22, 5,146.74 and 966.21 is: 1,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.22 : 5,146.74 = 966.21 : x
  2. Step 2: Convert to fraction form
    3,431.22/5,146.74 = 966.21/x
  3. Step 3: Cross multiply
    3,431.22x = 5,146.74 × 966.21
  4. Step 4: Simplify right side
    3,431.22x = 4,972,831.66
  5. Step 5: Solve for x
    x = 4,972,831.66/3,431.22
  6. Step 6: Final answer
    x = 1,449.29

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Half scale
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Double scale
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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.