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Finding the Fourth Proportional to 6,616.33, 9,921.99 and 2,666.25

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Solution

The fourth proportional to 6,616.33, 9,921.99 and 2,666.25 is: 3,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.33 : 9,921.99 = 2,666.25 : x
  2. Step 2: Convert to fraction form
    6,616.33/9,921.99 = 2,666.25/x
  3. Step 3: Cross multiply
    6,616.33x = 9,921.99 × 2,666.25
  4. Step 4: Simplify right side
    6,616.33x = 26,454,505.84
  5. Step 5: Solve for x
    x = 26,454,505.84/6,616.33
  6. Step 6: Final answer
    x = 3,998.37

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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.