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Finding the Fourth Proportional to 5,698.97, 7,863.87 and 3,181.22

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Solution

The fourth proportional to 5,698.97, 7,863.87 and 3,181.22 is: 4,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.97 : 7,863.87 = 3,181.22 : x
  2. Step 2: Convert to fraction form
    5,698.97/7,863.87 = 3,181.22/x
  3. Step 3: Cross multiply
    5,698.97x = 7,863.87 × 3,181.22
  4. Step 4: Simplify right side
    5,698.97x = 25,016,700.52
  5. Step 5: Solve for x
    x = 25,016,700.52/5,698.97
  6. Step 6: Final answer
    x = 4,389.69

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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.