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Finding the Fourth Proportional to 2,218.87, 3,321.01 and 1,975.87

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Solution

The fourth proportional to 2,218.87, 3,321.01 and 1,975.87 is: 2,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.87 : 3,321.01 = 1,975.87 : x
  2. Step 2: Convert to fraction form
    2,218.87/3,321.01 = 1,975.87/x
  3. Step 3: Cross multiply
    2,218.87x = 3,321.01 × 1,975.87
  4. Step 4: Simplify right side
    2,218.87x = 6,561,884.03
  5. Step 5: Solve for x
    x = 6,561,884.03/2,218.87
  6. Step 6: Final answer
    x = 2,957.31

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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.