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Finding the Fourth Proportional to 10,794.20, 16,178.06 and 5,165.39

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Solution

The fourth proportional to 10,794.20, 16,178.06 and 5,165.39 is: 7,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.20 : 16,178.06 = 5,165.39 : x
  2. Step 2: Convert to fraction form
    10,794.20/16,178.06 = 5,165.39/x
  3. Step 3: Cross multiply
    10,794.20x = 16,178.06 × 5,165.39
  4. Step 4: Simplify right side
    10,794.20x = 83,566,042.70
  5. Step 5: Solve for x
    x = 83,566,042.70/10,794.20
  6. Step 6: Final answer
    x = 7,741.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.