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Finding the Fourth Proportional to 3,992.25, 5,988.38 and 1,256.25

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Solution

The fourth proportional to 3,992.25, 5,988.38 and 1,256.25 is: 1,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.25 : 5,988.38 = 1,256.25 : x
  2. Step 2: Convert to fraction form
    3,992.25/5,988.38 = 1,256.25/x
  3. Step 3: Cross multiply
    3,992.25x = 5,988.38 × 1,256.25
  4. Step 4: Simplify right side
    3,992.25x = 7,522,896.09
  5. Step 5: Solve for x
    x = 7,522,896.09/3,992.25
  6. Step 6: Final answer
    x = 1,884.38

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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.