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Finding the Fourth Proportional to 2,943.72, 4,057.02 and 2,859.48

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Solution

The fourth proportional to 2,943.72, 4,057.02 and 2,859.48 is: 3,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.72 : 4,057.02 = 2,859.48 : x
  2. Step 2: Convert to fraction form
    2,943.72/4,057.02 = 2,859.48/x
  3. Step 3: Cross multiply
    2,943.72x = 4,057.02 × 2,859.48
  4. Step 4: Simplify right side
    2,943.72x = 11,600,967.55
  5. Step 5: Solve for x
    x = 11,600,967.55/2,943.72
  6. Step 6: Final answer
    x = 3,940.92

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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.