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Finding the Fourth Proportional to 2,711.64, 3,742.06 and 1,469.64

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Solution

The fourth proportional to 2,711.64, 3,742.06 and 1,469.64 is: 2,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.64 : 3,742.06 = 1,469.64 : x
  2. Step 2: Convert to fraction form
    2,711.64/3,742.06 = 1,469.64/x
  3. Step 3: Cross multiply
    2,711.64x = 3,742.06 × 1,469.64
  4. Step 4: Simplify right side
    2,711.64x = 5,499,481.06
  5. Step 5: Solve for x
    x = 5,499,481.06/2,711.64
  6. Step 6: Final answer
    x = 2,028.10

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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.