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Finding the Fourth Proportional to 6,661.62, 9,189.99 and 3,865.50

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Solution

The fourth proportional to 6,661.62, 9,189.99 and 3,865.50 is: 5,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.62 : 9,189.99 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    6,661.62/9,189.99 = 3,865.50/x
  3. Step 3: Cross multiply
    6,661.62x = 9,189.99 × 3,865.50
  4. Step 4: Simplify right side
    6,661.62x = 35,523,906.35
  5. Step 5: Solve for x
    x = 35,523,906.35/6,661.62
  6. Step 6: Final answer
    x = 5,332.62

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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.