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Finding the Fourth Proportional to 3,418.52, 4,717.50 and 2,021

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Solution

The fourth proportional to 3,418.52, 4,717.50 and 2,021 is: 2,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.52 : 4,717.50 = 2,021 : x
  2. Step 2: Convert to fraction form
    3,418.52/4,717.50 = 2,021/x
  3. Step 3: Cross multiply
    3,418.52x = 4,717.50 × 2,021
  4. Step 4: Simplify right side
    3,418.52x = 9,534,067.50
  5. Step 5: Solve for x
    x = 9,534,067.50/3,418.52
  6. Step 6: Final answer
    x = 2,788.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.