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Finding the Fourth Proportional to 8,043.76, 12,071.34 and 3,661.78

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Solution

The fourth proportional to 8,043.76, 12,071.34 and 3,661.78 is: 5,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.76 : 12,071.34 = 3,661.78 : x
  2. Step 2: Convert to fraction form
    8,043.76/12,071.34 = 3,661.78/x
  3. Step 3: Cross multiply
    8,043.76x = 12,071.34 × 3,661.78
  4. Step 4: Simplify right side
    8,043.76x = 44,202,591.39
  5. Step 5: Solve for x
    x = 44,202,591.39/8,043.76
  6. Step 6: Final answer
    x = 5,495.26

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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.