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Finding the Fourth Proportional to 3,086.64, 4,630.17 and 1,138.98

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Solution

The fourth proportional to 3,086.64, 4,630.17 and 1,138.98 is: 1,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,630.17 = 1,138.98 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,630.17 = 1,138.98/x
  3. Step 3: Cross multiply
    3,086.64x = 4,630.17 × 1,138.98
  4. Step 4: Simplify right side
    3,086.64x = 5,273,671.03
  5. Step 5: Solve for x
    x = 5,273,671.03/3,086.64
  6. Step 6: Final answer
    x = 1,708.55

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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.