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Finding the Fourth Proportional to 3,138.92, 4,703.83 and 1,733.61

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Solution

The fourth proportional to 3,138.92, 4,703.83 and 1,733.61 is: 2,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.92 : 4,703.83 = 1,733.61 : x
  2. Step 2: Convert to fraction form
    3,138.92/4,703.83 = 1,733.61/x
  3. Step 3: Cross multiply
    3,138.92x = 4,703.83 × 1,733.61
  4. Step 4: Simplify right side
    3,138.92x = 8,154,606.73
  5. Step 5: Solve for x
    x = 8,154,606.73/3,138.92
  6. Step 6: Final answer
    x = 2,597.90

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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.