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Finding the Fourth Proportional to 2,883.60, 3,974.76 and 2,754

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Solution

The fourth proportional to 2,883.60, 3,974.76 and 2,754 is: 3,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.60 : 3,974.76 = 2,754 : x
  2. Step 2: Convert to fraction form
    2,883.60/3,974.76 = 2,754/x
  3. Step 3: Cross multiply
    2,883.60x = 3,974.76 × 2,754
  4. Step 4: Simplify right side
    2,883.60x = 10,946,489.04
  5. Step 5: Solve for x
    x = 10,946,489.04/2,883.60
  6. Step 6: Final answer
    x = 3,796.12

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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.