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Finding the Fourth Proportional to 3,800, 5,695.32 and 2,698.40

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Solution

The fourth proportional to 3,800, 5,695.32 and 2,698.40 is: 4,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,695.32 = 2,698.40 : x
  2. Step 2: Convert to fraction form
    3,800/5,695.32 = 2,698.40/x
  3. Step 3: Cross multiply
    3,800x = 5,695.32 × 2,698.40
  4. Step 4: Simplify right side
    3,800x = 15,368,251.49
  5. Step 5: Solve for x
    x = 15,368,251.49/3,800
  6. Step 6: Final answer
    x = 4,044.28

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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.