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Finding the Fourth Proportional to 2,021.78, 3,031.56 and 634.73

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Solution

The fourth proportional to 2,021.78, 3,031.56 and 634.73 is: 951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.78 : 3,031.56 = 634.73 : x
  2. Step 2: Convert to fraction form
    2,021.78/3,031.56 = 634.73/x
  3. Step 3: Cross multiply
    2,021.78x = 3,031.56 × 634.73
  4. Step 4: Simplify right side
    2,021.78x = 1,924,222.08
  5. Step 5: Solve for x
    x = 1,924,222.08/2,021.78
  6. Step 6: Final answer
    x = 951.75

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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.