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Finding the Fourth Proportional to 6,603.69, 9,905.82 and 3,679.77

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Solution

The fourth proportional to 6,603.69, 9,905.82 and 3,679.77 is: 5,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.69 : 9,905.82 = 3,679.77 : x
  2. Step 2: Convert to fraction form
    6,603.69/9,905.82 = 3,679.77/x
  3. Step 3: Cross multiply
    6,603.69x = 9,905.82 × 3,679.77
  4. Step 4: Simplify right side
    6,603.69x = 36,451,139.26
  5. Step 5: Solve for x
    x = 36,451,139.26/6,603.69
  6. Step 6: Final answer
    x = 5,519.81

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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.