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Finding the Fourth Proportional to 2,028.18, 3,042.74 and 641.66

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Solution

The fourth proportional to 2,028.18, 3,042.74 and 641.66 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.18 : 3,042.74 = 641.66 : x
  2. Step 2: Convert to fraction form
    2,028.18/3,042.74 = 641.66/x
  3. Step 3: Cross multiply
    2,028.18x = 3,042.74 × 641.66
  4. Step 4: Simplify right side
    2,028.18x = 1,952,404.55
  5. Step 5: Solve for x
    x = 1,952,404.55/2,028.18
  6. Step 6: Final answer
    x = 962.64

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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.