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Finding the Fourth Proportional to 3,889.78, 5,837.10 and 1,581.28

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Solution

The fourth proportional to 3,889.78, 5,837.10 and 1,581.28 is: 2,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.78 : 5,837.10 = 1,581.28 : x
  2. Step 2: Convert to fraction form
    3,889.78/5,837.10 = 1,581.28/x
  3. Step 3: Cross multiply
    3,889.78x = 5,837.10 × 1,581.28
  4. Step 4: Simplify right side
    3,889.78x = 9,230,089.49
  5. Step 5: Solve for x
    x = 9,230,089.49/3,889.78
  6. Step 6: Final answer
    x = 2,372.91

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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.