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Finding the Fourth Proportional to 9,211, 12,706.80 and 6,227.88

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Solution

The fourth proportional to 9,211, 12,706.80 and 6,227.88 is: 8,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211 : 12,706.80 = 6,227.88 : x
  2. Step 2: Convert to fraction form
    9,211/12,706.80 = 6,227.88/x
  3. Step 3: Cross multiply
    9,211x = 12,706.80 × 6,227.88
  4. Step 4: Simplify right side
    9,211x = 79,136,425.58
  5. Step 5: Solve for x
    x = 79,136,425.58/9,211
  6. Step 6: Final answer
    x = 8,591.51

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1.5x scale

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.