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Finding the Fourth Proportional to 7,722, 11,583 and 5,250.69

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Solution

The fourth proportional to 7,722, 11,583 and 5,250.69 is: 7,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 11,583 = 5,250.69 : x
  2. Step 2: Convert to fraction form
    7,722/11,583 = 5,250.69/x
  3. Step 3: Cross multiply
    7,722x = 11,583 × 5,250.69
  4. Step 4: Simplify right side
    7,722x = 60,818,742.27
  5. Step 5: Solve for x
    x = 60,818,742.27/7,722
  6. Step 6: Final answer
    x = 7,876.04

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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.