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Finding the Fourth Proportional to 6,659.82, 9,990.95 and 2,764.13

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Solution

The fourth proportional to 6,659.82, 9,990.95 and 2,764.13 is: 4,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.82 : 9,990.95 = 2,764.13 : x
  2. Step 2: Convert to fraction form
    6,659.82/9,990.95 = 2,764.13/x
  3. Step 3: Cross multiply
    6,659.82x = 9,990.95 × 2,764.13
  4. Step 4: Simplify right side
    6,659.82x = 27,616,220.85
  5. Step 5: Solve for x
    x = 27,616,220.85/6,659.82
  6. Step 6: Final answer
    x = 4,146.69

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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.