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Finding the Fourth Proportional to 2,168.50, 3,252.84 and 629.50

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Solution

The fourth proportional to 2,168.50, 3,252.84 and 629.50 is: 944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.50 : 3,252.84 = 629.50 : x
  2. Step 2: Convert to fraction form
    2,168.50/3,252.84 = 629.50/x
  3. Step 3: Cross multiply
    2,168.50x = 3,252.84 × 629.50
  4. Step 4: Simplify right side
    2,168.50x = 2,047,662.78
  5. Step 5: Solve for x
    x = 2,047,662.78/2,168.50
  6. Step 6: Final answer
    x = 944.28

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1.5x scale

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.