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Finding the Fourth Proportional to 7,229.78, 10,861.08 and 4,769.40

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Solution

The fourth proportional to 7,229.78, 10,861.08 and 4,769.40 is: 7,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.78 : 10,861.08 = 4,769.40 : x
  2. Step 2: Convert to fraction form
    7,229.78/10,861.08 = 4,769.40/x
  3. Step 3: Cross multiply
    7,229.78x = 10,861.08 × 4,769.40
  4. Step 4: Simplify right side
    7,229.78x = 51,800,834.95
  5. Step 5: Solve for x
    x = 51,800,834.95/7,229.78
  6. Step 6: Final answer
    x = 7,164.93

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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.