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Finding the Fourth Proportional to 10,798.81, 16,198.20 and 6,178.57

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Solution

The fourth proportional to 10,798.81, 16,198.20 and 6,178.57 is: 9,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.81 : 16,198.20 = 6,178.57 : x
  2. Step 2: Convert to fraction form
    10,798.81/16,198.20 = 6,178.57/x
  3. Step 3: Cross multiply
    10,798.81x = 16,198.20 × 6,178.57
  4. Step 4: Simplify right side
    10,798.81x = 100,081,712.57
  5. Step 5: Solve for x
    x = 100,081,712.57/10,798.81
  6. Step 6: Final answer
    x = 9,267.85

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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.