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Finding the Fourth Proportional to 2,697.48, 4,040.28 and 1,965.39

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Solution

The fourth proportional to 2,697.48, 4,040.28 and 1,965.39 is: 2,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.48 : 4,040.28 = 1,965.39 : x
  2. Step 2: Convert to fraction form
    2,697.48/4,040.28 = 1,965.39/x
  3. Step 3: Cross multiply
    2,697.48x = 4,040.28 × 1,965.39
  4. Step 4: Simplify right side
    2,697.48x = 7,940,725.91
  5. Step 5: Solve for x
    x = 7,940,725.91/2,697.48
  6. Step 6: Final answer
    x = 2,943.76

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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.