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Finding the Fourth Proportional to 7,081.83, 9,773.19 and 3,938.22

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Solution

The fourth proportional to 7,081.83, 9,773.19 and 3,938.22 is: 5,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.83 : 9,773.19 = 3,938.22 : x
  2. Step 2: Convert to fraction form
    7,081.83/9,773.19 = 3,938.22/x
  3. Step 3: Cross multiply
    7,081.83x = 9,773.19 × 3,938.22
  4. Step 4: Simplify right side
    7,081.83x = 38,488,972.32
  5. Step 5: Solve for x
    x = 38,488,972.32/7,081.83
  6. Step 6: Final answer
    x = 5,434.89

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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.