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Finding the Fourth Proportional to 2,021.39, 3,030.62 and 633.96

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Solution

The fourth proportional to 2,021.39, 3,030.62 and 633.96 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.39 : 3,030.62 = 633.96 : x
  2. Step 2: Convert to fraction form
    2,021.39/3,030.62 = 633.96/x
  3. Step 3: Cross multiply
    2,021.39x = 3,030.62 × 633.96
  4. Step 4: Simplify right side
    2,021.39x = 1,921,288.69
  5. Step 5: Solve for x
    x = 1,921,288.69/2,021.39
  6. Step 6: Final answer
    x = 950.48

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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.