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Finding the Fourth Proportional to 3,882.88, 5,823.84 and 1,109.80

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Solution

The fourth proportional to 3,882.88, 5,823.84 and 1,109.80 is: 1,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,823.84 = 1,109.80 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,823.84 = 1,109.80/x
  3. Step 3: Cross multiply
    3,882.88x = 5,823.84 × 1,109.80
  4. Step 4: Simplify right side
    3,882.88x = 6,463,297.63
  5. Step 5: Solve for x
    x = 6,463,297.63/3,882.88
  6. Step 6: Final answer
    x = 1,664.56

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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.