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Finding the Fourth Proportional to 2,152, 3,229.08 and 998.08

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Solution

The fourth proportional to 2,152, 3,229.08 and 998.08 is: 1,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152 : 3,229.08 = 998.08 : x
  2. Step 2: Convert to fraction form
    2,152/3,229.08 = 998.08/x
  3. Step 3: Cross multiply
    2,152x = 3,229.08 × 998.08
  4. Step 4: Simplify right side
    2,152x = 3,222,880.17
  5. Step 5: Solve for x
    x = 3,222,880.17/2,152
  6. Step 6: Final answer
    x = 1,497.62

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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.