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Finding the Fourth Proportional to 8,806.50, 13,200.42 and 5,474.76

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Solution

The fourth proportional to 8,806.50, 13,200.42 and 5,474.76 is: 8,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.50 : 13,200.42 = 5,474.76 : x
  2. Step 2: Convert to fraction form
    8,806.50/13,200.42 = 5,474.76/x
  3. Step 3: Cross multiply
    8,806.50x = 13,200.42 × 5,474.76
  4. Step 4: Simplify right side
    8,806.50x = 72,269,131.40
  5. Step 5: Solve for x
    x = 72,269,131.40/8,806.50
  6. Step 6: Final answer
    x = 8,206.34

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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.