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Finding the Fourth Proportional to 7,109.83, 9,811.83 and 3,966.22

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Solution

The fourth proportional to 7,109.83, 9,811.83 and 3,966.22 is: 5,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.83 : 9,811.83 = 3,966.22 : x
  2. Step 2: Convert to fraction form
    7,109.83/9,811.83 = 3,966.22/x
  3. Step 3: Cross multiply
    7,109.83x = 9,811.83 × 3,966.22
  4. Step 4: Simplify right side
    7,109.83x = 38,915,876.38
  5. Step 5: Solve for x
    x = 38,915,876.38/7,109.83
  6. Step 6: Final answer
    x = 5,473.53

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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.