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Finding the Fourth Proportional to 8,729.80, 13,094.10 and 2,806.60

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Solution

The fourth proportional to 8,729.80, 13,094.10 and 2,806.60 is: 4,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.80 : 13,094.10 = 2,806.60 : x
  2. Step 2: Convert to fraction form
    8,729.80/13,094.10 = 2,806.60/x
  3. Step 3: Cross multiply
    8,729.80x = 13,094.10 × 2,806.60
  4. Step 4: Simplify right side
    8,729.80x = 36,749,901.06
  5. Step 5: Solve for x
    x = 36,749,901.06/8,729.80
  6. Step 6: Final answer
    x = 4,209.71

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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.