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Finding the Fourth Proportional to 3,138.64, 4,708.92 and 3,081.04

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Solution

The fourth proportional to 3,138.64, 4,708.92 and 3,081.04 is: 4,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.64 : 4,708.92 = 3,081.04 : x
  2. Step 2: Convert to fraction form
    3,138.64/4,708.92 = 3,081.04/x
  3. Step 3: Cross multiply
    3,138.64x = 4,708.92 × 3,081.04
  4. Step 4: Simplify right side
    3,138.64x = 14,508,370.88
  5. Step 5: Solve for x
    x = 14,508,370.88/3,138.64
  6. Step 6: Final answer
    x = 4,622.50

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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.