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Finding the Fourth Proportional to 7,665.28, 11,435.61 and 6,949.09

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Solution

The fourth proportional to 7,665.28, 11,435.61 and 6,949.09 is: 10,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.28 : 11,435.61 = 6,949.09 : x
  2. Step 2: Convert to fraction form
    7,665.28/11,435.61 = 6,949.09/x
  3. Step 3: Cross multiply
    7,665.28x = 11,435.61 × 6,949.09
  4. Step 4: Simplify right side
    7,665.28x = 79,467,064.82
  5. Step 5: Solve for x
    x = 79,467,064.82/7,665.28
  6. Step 6: Final answer
    x = 10,367.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.