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Finding the Fourth Proportional to 3,789.34, 5,678.48 and 2,137.44

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Solution

The fourth proportional to 3,789.34, 5,678.48 and 2,137.44 is: 3,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.34 : 5,678.48 = 2,137.44 : x
  2. Step 2: Convert to fraction form
    3,789.34/5,678.48 = 2,137.44/x
  3. Step 3: Cross multiply
    3,789.34x = 5,678.48 × 2,137.44
  4. Step 4: Simplify right side
    3,789.34x = 12,137,410.29
  5. Step 5: Solve for x
    x = 12,137,410.29/3,789.34
  6. Step 6: Final answer
    x = 3,203.04

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1.5x scale

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.