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Finding the Fourth Proportional to 2,706.66, 4,063.41 and 2,090.79

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Solution

The fourth proportional to 2,706.66, 4,063.41 and 2,090.79 is: 3,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.66 : 4,063.41 = 2,090.79 : x
  2. Step 2: Convert to fraction form
    2,706.66/4,063.41 = 2,090.79/x
  3. Step 3: Cross multiply
    2,706.66x = 4,063.41 × 2,090.79
  4. Step 4: Simplify right side
    2,706.66x = 8,495,736.99
  5. Step 5: Solve for x
    x = 8,495,736.99/2,706.66
  6. Step 6: Final answer
    x = 3,138.83

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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.