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Finding the Fourth Proportional to 2,217.62, 3,326.06 and 657.60

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Solution

The fourth proportional to 2,217.62, 3,326.06 and 657.60 is: 986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.62 : 3,326.06 = 657.60 : x
  2. Step 2: Convert to fraction form
    2,217.62/3,326.06 = 657.60/x
  3. Step 3: Cross multiply
    2,217.62x = 3,326.06 × 657.60
  4. Step 4: Simplify right side
    2,217.62x = 2,187,217.06
  5. Step 5: Solve for x
    x = 2,187,217.06/2,217.62
  6. Step 6: Final answer
    x = 986.29

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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.