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Finding the Fourth Proportional to 3,837.64, 5,757.54 and 1,989.76

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Solution

The fourth proportional to 3,837.64, 5,757.54 and 1,989.76 is: 2,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.64 : 5,757.54 = 1,989.76 : x
  2. Step 2: Convert to fraction form
    3,837.64/5,757.54 = 1,989.76/x
  3. Step 3: Cross multiply
    3,837.64x = 5,757.54 × 1,989.76
  4. Step 4: Simplify right side
    3,837.64x = 11,456,122.79
  5. Step 5: Solve for x
    x = 11,456,122.79/3,837.64
  6. Step 6: Final answer
    x = 2,985.20

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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.