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Finding the Fourth Proportional to 3,801.17, 5,704.78 and 1,721.33

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Solution

The fourth proportional to 3,801.17, 5,704.78 and 1,721.33 is: 2,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.17 : 5,704.78 = 1,721.33 : x
  2. Step 2: Convert to fraction form
    3,801.17/5,704.78 = 1,721.33/x
  3. Step 3: Cross multiply
    3,801.17x = 5,704.78 × 1,721.33
  4. Step 4: Simplify right side
    3,801.17x = 9,819,776.13
  5. Step 5: Solve for x
    x = 9,819,776.13/3,801.17
  6. Step 6: Final answer
    x = 2,583.35

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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.