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Finding the Fourth Proportional to 2,774.64, 4,163.78 and 1,019.66

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Solution

The fourth proportional to 2,774.64, 4,163.78 and 1,019.66 is: 1,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.64 : 4,163.78 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    2,774.64/4,163.78 = 1,019.66/x
  3. Step 3: Cross multiply
    2,774.64x = 4,163.78 × 1,019.66
  4. Step 4: Simplify right side
    2,774.64x = 4,245,627.56
  5. Step 5: Solve for x
    x = 4,245,627.56/2,774.64
  6. Step 6: Final answer
    x = 1,530.15

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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.