Home / 6,831-9,427.68-4,143.29

Finding the Fourth Proportional to 6,831, 9,427.68 and 4,143.29

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Solution

The fourth proportional to 6,831, 9,427.68 and 4,143.29 is: 5,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 9,427.68 = 4,143.29 : x
  2. Step 2: Convert to fraction form
    6,831/9,427.68 = 4,143.29/x
  3. Step 3: Cross multiply
    6,831x = 9,427.68 × 4,143.29
  4. Step 4: Simplify right side
    6,831x = 39,061,565.13
  5. Step 5: Solve for x
    x = 39,061,565.13/6,831
  6. Step 6: Final answer
    x = 5,718.28

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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.