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Finding the Fourth Proportional to 9,211.45, 12,722.46 and 6,704.80

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Solution

The fourth proportional to 9,211.45, 12,722.46 and 6,704.80 is: 9,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.45 : 12,722.46 = 6,704.80 : x
  2. Step 2: Convert to fraction form
    9,211.45/12,722.46 = 6,704.80/x
  3. Step 3: Cross multiply
    9,211.45x = 12,722.46 × 6,704.80
  4. Step 4: Simplify right side
    9,211.45x = 85,301,549.81
  5. Step 5: Solve for x
    x = 85,301,549.81/9,211.45
  6. Step 6: Final answer
    x = 9,260.38

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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.