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Finding the Fourth Proportional to 3,800.64, 5,695.71 and 1,827.48

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Solution

The fourth proportional to 3,800.64, 5,695.71 and 1,827.48 is: 2,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.64 : 5,695.71 = 1,827.48 : x
  2. Step 2: Convert to fraction form
    3,800.64/5,695.71 = 1,827.48/x
  3. Step 3: Cross multiply
    3,800.64x = 5,695.71 × 1,827.48
  4. Step 4: Simplify right side
    3,800.64x = 10,408,796.11
  5. Step 5: Solve for x
    x = 10,408,796.11/3,800.64
  6. Step 6: Final answer
    x = 2,738.70

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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.