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Finding the Fourth Proportional to 6,650.39, 9,981.74 and 3,365.80

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Solution

The fourth proportional to 6,650.39, 9,981.74 and 3,365.80 is: 5,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.39 : 9,981.74 = 3,365.80 : x
  2. Step 2: Convert to fraction form
    6,650.39/9,981.74 = 3,365.80/x
  3. Step 3: Cross multiply
    6,650.39x = 9,981.74 × 3,365.80
  4. Step 4: Simplify right side
    6,650.39x = 33,596,523.95
  5. Step 5: Solve for x
    x = 33,596,523.95/6,650.39
  6. Step 6: Final answer
    x = 5,051.81

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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.