Home / 2,143.53-3,213.09-826.92

Finding the Fourth Proportional to 2,143.53, 3,213.09 and 826.92

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Solution

The fourth proportional to 2,143.53, 3,213.09 and 826.92 is: 1,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.53 : 3,213.09 = 826.92 : x
  2. Step 2: Convert to fraction form
    2,143.53/3,213.09 = 826.92/x
  3. Step 3: Cross multiply
    2,143.53x = 3,213.09 × 826.92
  4. Step 4: Simplify right side
    2,143.53x = 2,656,968.38
  5. Step 5: Solve for x
    x = 2,656,968.38/2,143.53
  6. Step 6: Final answer
    x = 1,239.53

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1.5x scale

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.