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Finding the Fourth Proportional to 3,801.47, 5,702.77 and 1,721.42

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Solution

The fourth proportional to 3,801.47, 5,702.77 and 1,721.42 is: 2,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.47 : 5,702.77 = 1,721.42 : x
  2. Step 2: Convert to fraction form
    3,801.47/5,702.77 = 1,721.42/x
  3. Step 3: Cross multiply
    3,801.47x = 5,702.77 × 1,721.42
  4. Step 4: Simplify right side
    3,801.47x = 9,816,857.36
  5. Step 5: Solve for x
    x = 9,816,857.36/3,801.47
  6. Step 6: Final answer
    x = 2,582.39

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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.