Home / 4,122.12-6,184.80-1,812

Finding the Fourth Proportional to 4,122.12, 6,184.80 and 1,812

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Solution

The fourth proportional to 4,122.12, 6,184.80 and 1,812 is: 2,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.12 : 6,184.80 = 1,812 : x
  2. Step 2: Convert to fraction form
    4,122.12/6,184.80 = 1,812/x
  3. Step 3: Cross multiply
    4,122.12x = 6,184.80 × 1,812
  4. Step 4: Simplify right side
    4,122.12x = 11,206,857.60
  5. Step 5: Solve for x
    x = 11,206,857.60/4,122.12
  6. Step 6: Final answer
    x = 2,718.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.