Home / 1,428.31-2,141.97-968.62

Finding the Fourth Proportional to 1,428.31, 2,141.97 and 968.62

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Solution

The fourth proportional to 1,428.31, 2,141.97 and 968.62 is: 1,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.31 : 2,141.97 = 968.62 : x
  2. Step 2: Convert to fraction form
    1,428.31/2,141.97 = 968.62/x
  3. Step 3: Cross multiply
    1,428.31x = 2,141.97 × 968.62
  4. Step 4: Simplify right side
    1,428.31x = 2,074,754.98
  5. Step 5: Solve for x
    x = 2,074,754.98/1,428.31
  6. Step 6: Final answer
    x = 1,452.59

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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.