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Finding the Fourth Proportional to 7,109.40, 9,809.82 and 3,965.52

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Solution

The fourth proportional to 7,109.40, 9,809.82 and 3,965.52 is: 5,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.40 : 9,809.82 = 3,965.52 : x
  2. Step 2: Convert to fraction form
    7,109.40/9,809.82 = 3,965.52/x
  3. Step 3: Cross multiply
    7,109.40x = 9,809.82 × 3,965.52
  4. Step 4: Simplify right side
    7,109.40x = 38,901,037.41
  5. Step 5: Solve for x
    x = 38,901,037.41/7,109.40
  6. Step 6: Final answer
    x = 5,471.78

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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.