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Finding the Fourth Proportional to 2,189.78, 3,285.14 and 629.78

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Solution

The fourth proportional to 2,189.78, 3,285.14 and 629.78 is: 944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.78 : 3,285.14 = 629.78 : x
  2. Step 2: Convert to fraction form
    2,189.78/3,285.14 = 629.78/x
  3. Step 3: Cross multiply
    2,189.78x = 3,285.14 × 629.78
  4. Step 4: Simplify right side
    2,189.78x = 2,068,915.47
  5. Step 5: Solve for x
    x = 2,068,915.47/2,189.78
  6. Step 6: Final answer
    x = 944.81

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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.