Home / 1,508.48-2,261.96-961.76

Finding the Fourth Proportional to 1,508.48, 2,261.96 and 961.76

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Solution

The fourth proportional to 1,508.48, 2,261.96 and 961.76 is: 1,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.48 : 2,261.96 = 961.76 : x
  2. Step 2: Convert to fraction form
    1,508.48/2,261.96 = 961.76/x
  3. Step 3: Cross multiply
    1,508.48x = 2,261.96 × 961.76
  4. Step 4: Simplify right side
    1,508.48x = 2,175,462.65
  5. Step 5: Solve for x
    x = 2,175,462.65/1,508.48
  6. Step 6: Final answer
    x = 1,442.16

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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.