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Finding the Fourth Proportional to 5,324.15, 7,978 and 3,372.25

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Solution

The fourth proportional to 5,324.15, 7,978 and 3,372.25 is: 5,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.15 : 7,978 = 3,372.25 : x
  2. Step 2: Convert to fraction form
    5,324.15/7,978 = 3,372.25/x
  3. Step 3: Cross multiply
    5,324.15x = 7,978 × 3,372.25
  4. Step 4: Simplify right side
    5,324.15x = 26,903,770.61
  5. Step 5: Solve for x
    x = 26,903,770.61/5,324.15
  6. Step 6: Final answer
    x = 5,053.16

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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.