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Finding the Fourth Proportional to 2,824.78, 3,895.42 and 2,026.76

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Solution

The fourth proportional to 2,824.78, 3,895.42 and 2,026.76 is: 2,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.78 : 3,895.42 = 2,026.76 : x
  2. Step 2: Convert to fraction form
    2,824.78/3,895.42 = 2,026.76/x
  3. Step 3: Cross multiply
    2,824.78x = 3,895.42 × 2,026.76
  4. Step 4: Simplify right side
    2,824.78x = 7,895,081.44
  5. Step 5: Solve for x
    x = 7,895,081.44/2,824.78
  6. Step 6: Final answer
    x = 2,794.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.