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Finding the Fourth Proportional to 2,144.36, 3,218 and 990.12

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Solution

The fourth proportional to 2,144.36, 3,218 and 990.12 is: 1,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.36 : 3,218 = 990.12 : x
  2. Step 2: Convert to fraction form
    2,144.36/3,218 = 990.12/x
  3. Step 3: Cross multiply
    2,144.36x = 3,218 × 990.12
  4. Step 4: Simplify right side
    2,144.36x = 3,186,206.16
  5. Step 5: Solve for x
    x = 3,186,206.16/2,144.36
  6. Step 6: Final answer
    x = 1,485.85

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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.