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Finding the Fourth Proportional to 6,469.84, 9,706.68 and 3,011.28

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Solution

The fourth proportional to 6,469.84, 9,706.68 and 3,011.28 is: 4,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.84 : 9,706.68 = 3,011.28 : x
  2. Step 2: Convert to fraction form
    6,469.84/9,706.68 = 3,011.28/x
  3. Step 3: Cross multiply
    6,469.84x = 9,706.68 × 3,011.28
  4. Step 4: Simplify right side
    6,469.84x = 29,229,531.35
  5. Step 5: Solve for x
    x = 29,229,531.35/6,469.84
  6. Step 6: Final answer
    x = 4,517.81

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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.