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Finding the Fourth Proportional to 7,105.80, 9,805.38 and 4,081.24

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Solution

The fourth proportional to 7,105.80, 9,805.38 and 4,081.24 is: 5,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.80 : 9,805.38 = 4,081.24 : x
  2. Step 2: Convert to fraction form
    7,105.80/9,805.38 = 4,081.24/x
  3. Step 3: Cross multiply
    7,105.80x = 9,805.38 × 4,081.24
  4. Step 4: Simplify right side
    7,105.80x = 40,018,109.07
  5. Step 5: Solve for x
    x = 40,018,109.07/7,105.80
  6. Step 6: Final answer
    x = 5,631.75

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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.