Home / 1,428.21-2,143.66-725.92

Finding the Fourth Proportional to 1,428.21, 2,143.66 and 725.92

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Solution

The fourth proportional to 1,428.21, 2,143.66 and 725.92 is: 1,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.21 : 2,143.66 = 725.92 : x
  2. Step 2: Convert to fraction form
    1,428.21/2,143.66 = 725.92/x
  3. Step 3: Cross multiply
    1,428.21x = 2,143.66 × 725.92
  4. Step 4: Simplify right side
    1,428.21x = 1,556,125.67
  5. Step 5: Solve for x
    x = 1,556,125.67/1,428.21
  6. Step 6: Final answer
    x = 1,089.56

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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.