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Finding the Fourth Proportional to 3,728.25, 5,146.07 and 2,486.25

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Solution

The fourth proportional to 3,728.25, 5,146.07 and 2,486.25 is: 3,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 5,146.07 = 2,486.25 : x
  2. Step 2: Convert to fraction form
    3,728.25/5,146.07 = 2,486.25/x
  3. Step 3: Cross multiply
    3,728.25x = 5,146.07 × 2,486.25
  4. Step 4: Simplify right side
    3,728.25x = 12,794,404.11
  5. Step 5: Solve for x
    x = 12,794,404.11/3,728.25
  6. Step 6: Final answer
    x = 3,431.75

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Half scale
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Double scale
Find fourth proportional to 3,729.25, 5,147.45 and 2,487.25
Similar ratio
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1.5x scale

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.