Home / 1,016.96-1,521.68-961.36

Finding the Fourth Proportional to 1,016.96, 1,521.68 and 961.36

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Solution

The fourth proportional to 1,016.96, 1,521.68 and 961.36 is: 1,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.96 : 1,521.68 = 961.36 : x
  2. Step 2: Convert to fraction form
    1,016.96/1,521.68 = 961.36/x
  3. Step 3: Cross multiply
    1,016.96x = 1,521.68 × 961.36
  4. Step 4: Simplify right side
    1,016.96x = 1,462,882.28
  5. Step 5: Solve for x
    x = 1,462,882.28/1,016.96
  6. Step 6: Final answer
    x = 1,438.49

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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.