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Finding the Fourth Proportional to 2,778.82, 3,825.03 and 2,516.38

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Solution

The fourth proportional to 2,778.82, 3,825.03 and 2,516.38 is: 3,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.82 : 3,825.03 = 2,516.38 : x
  2. Step 2: Convert to fraction form
    2,778.82/3,825.03 = 2,516.38/x
  3. Step 3: Cross multiply
    2,778.82x = 3,825.03 × 2,516.38
  4. Step 4: Simplify right side
    2,778.82x = 9,625,228.99
  5. Step 5: Solve for x
    x = 9,625,228.99/2,778.82
  6. Step 6: Final answer
    x = 3,463.78

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1.5x scale

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.