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Finding the Fourth Proportional to 3,788.64, 5,680.80 and 2,031.48

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Solution

The fourth proportional to 3,788.64, 5,680.80 and 2,031.48 is: 3,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.64 : 5,680.80 = 2,031.48 : x
  2. Step 2: Convert to fraction form
    3,788.64/5,680.80 = 2,031.48/x
  3. Step 3: Cross multiply
    3,788.64x = 5,680.80 × 2,031.48
  4. Step 4: Simplify right side
    3,788.64x = 11,540,431.58
  5. Step 5: Solve for x
    x = 11,540,431.58/3,788.64
  6. Step 6: Final answer
    x = 3,046.06

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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.