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Finding the Fourth Proportional to 7,147.33, 9,863.30 and 4,003.52

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Solution

The fourth proportional to 7,147.33, 9,863.30 and 4,003.52 is: 5,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.33 : 9,863.30 = 4,003.52 : x
  2. Step 2: Convert to fraction form
    7,147.33/9,863.30 = 4,003.52/x
  3. Step 3: Cross multiply
    7,147.33x = 9,863.30 × 4,003.52
  4. Step 4: Simplify right side
    7,147.33x = 39,487,879.51
  5. Step 5: Solve for x
    x = 39,487,879.51/7,147.33
  6. Step 6: Final answer
    x = 5,524.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.