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Finding the Fourth Proportional to 3,138.84, 4,712.16 and 2,679.54

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Solution

The fourth proportional to 3,138.84, 4,712.16 and 2,679.54 is: 4,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.84 : 4,712.16 = 2,679.54 : x
  2. Step 2: Convert to fraction form
    3,138.84/4,712.16 = 2,679.54/x
  3. Step 3: Cross multiply
    3,138.84x = 4,712.16 × 2,679.54
  4. Step 4: Simplify right side
    3,138.84x = 12,626,421.21
  5. Step 5: Solve for x
    x = 12,626,421.21/3,138.84
  6. Step 6: Final answer
    x = 4,022.64

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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.