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Finding the Fourth Proportional to 2,144.45, 3,216.54 and 684.65

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Solution

The fourth proportional to 2,144.45, 3,216.54 and 684.65 is: 1,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.45 : 3,216.54 = 684.65 : x
  2. Step 2: Convert to fraction form
    2,144.45/3,216.54 = 684.65/x
  3. Step 3: Cross multiply
    2,144.45x = 3,216.54 × 684.65
  4. Step 4: Simplify right side
    2,144.45x = 2,202,204.11
  5. Step 5: Solve for x
    x = 2,202,204.11/2,144.45
  6. Step 6: Final answer
    x = 1,026.93

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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.