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Finding the Fourth Proportional to 2,168.12, 3,252.50 and 628.92

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Solution

The fourth proportional to 2,168.12, 3,252.50 and 628.92 is: 943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.12 : 3,252.50 = 628.92 : x
  2. Step 2: Convert to fraction form
    2,168.12/3,252.50 = 628.92/x
  3. Step 3: Cross multiply
    2,168.12x = 3,252.50 × 628.92
  4. Step 4: Simplify right side
    2,168.12x = 2,045,562.30
  5. Step 5: Solve for x
    x = 2,045,562.30/2,168.12
  6. Step 6: Final answer
    x = 943.47

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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.