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Finding the Fourth Proportional to 3,698.92, 5,107.62 and 3,081.16

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Solution

The fourth proportional to 3,698.92, 5,107.62 and 3,081.16 is: 4,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.92 : 5,107.62 = 3,081.16 : x
  2. Step 2: Convert to fraction form
    3,698.92/5,107.62 = 3,081.16/x
  3. Step 3: Cross multiply
    3,698.92x = 5,107.62 × 3,081.16
  4. Step 4: Simplify right side
    3,698.92x = 15,737,394.44
  5. Step 5: Solve for x
    x = 15,737,394.44/3,698.92
  6. Step 6: Final answer
    x = 4,254.59

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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.