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Finding the Fourth Proportional to 11,017.68, 15,198.64 and 6,769.70

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Solution

The fourth proportional to 11,017.68, 15,198.64 and 6,769.70 is: 9,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.68 : 15,198.64 = 6,769.70 : x
  2. Step 2: Convert to fraction form
    11,017.68/15,198.64 = 6,769.70/x
  3. Step 3: Cross multiply
    11,017.68x = 15,198.64 × 6,769.70
  4. Step 4: Simplify right side
    11,017.68x = 102,890,233.21
  5. Step 5: Solve for x
    x = 102,890,233.21/11,017.68
  6. Step 6: Final answer
    x = 9,338.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.