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Finding the Fourth Proportional to 7,257.50, 10,015.43 and 3,945.50

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Solution

The fourth proportional to 7,257.50, 10,015.43 and 3,945.50 is: 5,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.50 : 10,015.43 = 3,945.50 : x
  2. Step 2: Convert to fraction form
    7,257.50/10,015.43 = 3,945.50/x
  3. Step 3: Cross multiply
    7,257.50x = 10,015.43 × 3,945.50
  4. Step 4: Simplify right side
    7,257.50x = 39,515,879.07
  5. Step 5: Solve for x
    x = 39,515,879.07/7,257.50
  6. Step 6: Final answer
    x = 5,444.83

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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.