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Finding the Fourth Proportional to 2,954.56, 4,078.34 and 2,639.28

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Solution

The fourth proportional to 2,954.56, 4,078.34 and 2,639.28 is: 3,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.56 : 4,078.34 = 2,639.28 : x
  2. Step 2: Convert to fraction form
    2,954.56/4,078.34 = 2,639.28/x
  3. Step 3: Cross multiply
    2,954.56x = 4,078.34 × 2,639.28
  4. Step 4: Simplify right side
    2,954.56x = 10,763,851.36
  5. Step 5: Solve for x
    x = 10,763,851.36/2,954.56
  6. Step 6: Final answer
    x = 3,643.13

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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.