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Finding the Fourth Proportional to 2,168.94, 3,253.50 and 629.94

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Solution

The fourth proportional to 2,168.94, 3,253.50 and 629.94 is: 944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.94 : 3,253.50 = 629.94 : x
  2. Step 2: Convert to fraction form
    2,168.94/3,253.50 = 629.94/x
  3. Step 3: Cross multiply
    2,168.94x = 3,253.50 × 629.94
  4. Step 4: Simplify right side
    2,168.94x = 2,049,500.08
  5. Step 5: Solve for x
    x = 2,049,500.08/2,168.94
  6. Step 6: Final answer
    x = 944.93

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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.