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Finding the Fourth Proportional to 2,718, 3,753 and 2,131.56

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Solution

The fourth proportional to 2,718, 3,753 and 2,131.56 is: 2,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718 : 3,753 = 2,131.56 : x
  2. Step 2: Convert to fraction form
    2,718/3,753 = 2,131.56/x
  3. Step 3: Cross multiply
    2,718x = 3,753 × 2,131.56
  4. Step 4: Simplify right side
    2,718x = 7,999,744.68
  5. Step 5: Solve for x
    x = 7,999,744.68/2,718
  6. Step 6: Final answer
    x = 2,943.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.