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Finding the Fourth Proportional to 5,679.75, 7,837.87 and 3,161.78

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Solution

The fourth proportional to 5,679.75, 7,837.87 and 3,161.78 is: 4,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.75 : 7,837.87 = 3,161.78 : x
  2. Step 2: Convert to fraction form
    5,679.75/7,837.87 = 3,161.78/x
  3. Step 3: Cross multiply
    5,679.75x = 7,837.87 × 3,161.78
  4. Step 4: Simplify right side
    5,679.75x = 24,781,661.82
  5. Step 5: Solve for x
    x = 24,781,661.82/5,679.75
  6. Step 6: Final answer
    x = 4,363.16

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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.