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Finding the Fourth Proportional to 7,168.80, 10,738.81 and 3,658.66

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Solution

The fourth proportional to 7,168.80, 10,738.81 and 3,658.66 is: 5,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.80 : 10,738.81 = 3,658.66 : x
  2. Step 2: Convert to fraction form
    7,168.80/10,738.81 = 3,658.66/x
  3. Step 3: Cross multiply
    7,168.80x = 10,738.81 × 3,658.66
  4. Step 4: Simplify right side
    7,168.80x = 39,289,654.59
  5. Step 5: Solve for x
    x = 39,289,654.59/7,168.80
  6. Step 6: Final answer
    x = 5,480.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.