Home / 6,831-9,426.84-4,142.16

Finding the Fourth Proportional to 6,831, 9,426.84 and 4,142.16

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Solution

The fourth proportional to 6,831, 9,426.84 and 4,142.16 is: 5,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 9,426.84 = 4,142.16 : x
  2. Step 2: Convert to fraction form
    6,831/9,426.84 = 4,142.16/x
  3. Step 3: Cross multiply
    6,831x = 9,426.84 × 4,142.16
  4. Step 4: Simplify right side
    6,831x = 39,047,479.57
  5. Step 5: Solve for x
    x = 39,047,479.57/6,831
  6. Step 6: Final answer
    x = 5,716.22

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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.