Home / 2,142.24-3,212.90-681.52

Finding the Fourth Proportional to 2,142.24, 3,212.90 and 681.52

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Solution

The fourth proportional to 2,142.24, 3,212.90 and 681.52 is: 1,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,212.90 = 681.52 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,212.90 = 681.52/x
  3. Step 3: Cross multiply
    2,142.24x = 3,212.90 × 681.52
  4. Step 4: Simplify right side
    2,142.24x = 2,189,655.61
  5. Step 5: Solve for x
    x = 2,189,655.61/2,142.24
  6. Step 6: Final answer
    x = 1,022.13

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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.