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Finding the Fourth Proportional to 6,600, 9,900.48 and 2,217.36

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Solution

The fourth proportional to 6,600, 9,900.48 and 2,217.36 is: 3,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600 : 9,900.48 = 2,217.36 : x
  2. Step 2: Convert to fraction form
    6,600/9,900.48 = 2,217.36/x
  3. Step 3: Cross multiply
    6,600x = 9,900.48 × 2,217.36
  4. Step 4: Simplify right side
    6,600x = 21,952,928.33
  5. Step 5: Solve for x
    x = 21,952,928.33/6,600
  6. Step 6: Final answer
    x = 3,326.20

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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.