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Finding the Fourth Proportional to 5,324.65, 7,978.75 and 3,372.75

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Solution

The fourth proportional to 5,324.65, 7,978.75 and 3,372.75 is: 5,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.65 : 7,978.75 = 3,372.75 : x
  2. Step 2: Convert to fraction form
    5,324.65/7,978.75 = 3,372.75/x
  3. Step 3: Cross multiply
    5,324.65x = 7,978.75 × 3,372.75
  4. Step 4: Simplify right side
    5,324.65x = 26,910,329.06
  5. Step 5: Solve for x
    x = 26,910,329.06/5,324.65
  6. Step 6: Final answer
    x = 5,053.92

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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.