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Finding the Fourth Proportional to 2,629.72, 3,943.56 and 874.66

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Solution

The fourth proportional to 2,629.72, 3,943.56 and 874.66 is: 1,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.72 : 3,943.56 = 874.66 : x
  2. Step 2: Convert to fraction form
    2,629.72/3,943.56 = 874.66/x
  3. Step 3: Cross multiply
    2,629.72x = 3,943.56 × 874.66
  4. Step 4: Simplify right side
    2,629.72x = 3,449,274.19
  5. Step 5: Solve for x
    x = 3,449,274.19/2,629.72
  6. Step 6: Final answer
    x = 1,311.65

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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.