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Finding the Fourth Proportional to 7,305.50, 10,081.75 and 3,993.50

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Solution

The fourth proportional to 7,305.50, 10,081.75 and 3,993.50 is: 5,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.50 : 10,081.75 = 3,993.50 : x
  2. Step 2: Convert to fraction form
    7,305.50/10,081.75 = 3,993.50/x
  3. Step 3: Cross multiply
    7,305.50x = 10,081.75 × 3,993.50
  4. Step 4: Simplify right side
    7,305.50x = 40,261,468.63
  5. Step 5: Solve for x
    x = 40,261,468.63/7,305.50
  6. Step 6: Final answer
    x = 5,511.12

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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.