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Finding the Fourth Proportional to 3,874.33, 5,807.43 and 1,897.23

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Solution

The fourth proportional to 3,874.33, 5,807.43 and 1,897.23 is: 2,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.33 : 5,807.43 = 1,897.23 : x
  2. Step 2: Convert to fraction form
    3,874.33/5,807.43 = 1,897.23/x
  3. Step 3: Cross multiply
    3,874.33x = 5,807.43 × 1,897.23
  4. Step 4: Simplify right side
    3,874.33x = 11,018,030.42
  5. Step 5: Solve for x
    x = 11,018,030.42/3,874.33
  6. Step 6: Final answer
    x = 2,843.85

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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.