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Finding the Fourth Proportional to 3,117.78, 4,662.99 and 2,713.18

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Solution

The fourth proportional to 3,117.78, 4,662.99 and 2,713.18 is: 4,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.78 : 4,662.99 = 2,713.18 : x
  2. Step 2: Convert to fraction form
    3,117.78/4,662.99 = 2,713.18/x
  3. Step 3: Cross multiply
    3,117.78x = 4,662.99 × 2,713.18
  4. Step 4: Simplify right side
    3,117.78x = 12,651,531.21
  5. Step 5: Solve for x
    x = 12,651,531.21/3,117.78
  6. Step 6: Final answer
    x = 4,057.87

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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.