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Finding the Fourth Proportional to 6,679, 9,216.87 and 3,694.87

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Solution

The fourth proportional to 6,679, 9,216.87 and 3,694.87 is: 5,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679 : 9,216.87 = 3,694.87 : x
  2. Step 2: Convert to fraction form
    6,679/9,216.87 = 3,694.87/x
  3. Step 3: Cross multiply
    6,679x = 9,216.87 × 3,694.87
  4. Step 4: Simplify right side
    6,679x = 34,055,136.46
  5. Step 5: Solve for x
    x = 34,055,136.46/6,679
  6. Step 6: Final answer
    x = 5,098.84

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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.