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Finding the Fourth Proportional to 3,992.75, 5,510 and 2,314.48

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Solution

The fourth proportional to 3,992.75, 5,510 and 2,314.48 is: 3,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.75 : 5,510 = 2,314.48 : x
  2. Step 2: Convert to fraction form
    3,992.75/5,510 = 2,314.48/x
  3. Step 3: Cross multiply
    3,992.75x = 5,510 × 2,314.48
  4. Step 4: Simplify right side
    3,992.75x = 12,752,784.80
  5. Step 5: Solve for x
    x = 12,752,784.80/3,992.75
  6. Step 6: Final answer
    x = 3,193.99

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Double scale
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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.