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Finding the Fourth Proportional to 7,109.42, 9,810.97 and 3,965.61

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Solution

The fourth proportional to 7,109.42, 9,810.97 and 3,965.61 is: 5,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.42 : 9,810.97 = 3,965.61 : x
  2. Step 2: Convert to fraction form
    7,109.42/9,810.97 = 3,965.61/x
  3. Step 3: Cross multiply
    7,109.42x = 9,810.97 × 3,965.61
  4. Step 4: Simplify right side
    7,109.42x = 38,906,480.74
  5. Step 5: Solve for x
    x = 38,906,480.74/7,109.42
  6. Step 6: Final answer
    x = 5,472.53

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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.