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Finding the Fourth Proportional to 7,211.78, 10,806.72 and 5,354.20

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Solution

The fourth proportional to 7,211.78, 10,806.72 and 5,354.20 is: 8,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.78 : 10,806.72 = 5,354.20 : x
  2. Step 2: Convert to fraction form
    7,211.78/10,806.72 = 5,354.20/x
  3. Step 3: Cross multiply
    7,211.78x = 10,806.72 × 5,354.20
  4. Step 4: Simplify right side
    7,211.78x = 57,861,340.22
  5. Step 5: Solve for x
    x = 57,861,340.22/7,211.78
  6. Step 6: Final answer
    x = 8,023.17

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1.5x scale

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.