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Finding the Fourth Proportional to 7,109.14, 9,809.94 and 3,965.53

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Solution

The fourth proportional to 7,109.14, 9,809.94 and 3,965.53 is: 5,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.14 : 9,809.94 = 3,965.53 : x
  2. Step 2: Convert to fraction form
    7,109.14/9,809.94 = 3,965.53/x
  3. Step 3: Cross multiply
    7,109.14x = 9,809.94 × 3,965.53
  4. Step 4: Simplify right side
    7,109.14x = 38,901,611.37
  5. Step 5: Solve for x
    x = 38,901,611.37/7,109.14
  6. Step 6: Final answer
    x = 5,472.06

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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.