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Finding the Fourth Proportional to 4,916, 7,375.22 and 1,629.43

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Solution

The fourth proportional to 4,916, 7,375.22 and 1,629.43 is: 2,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916 : 7,375.22 = 1,629.43 : x
  2. Step 2: Convert to fraction form
    4,916/7,375.22 = 1,629.43/x
  3. Step 3: Cross multiply
    4,916x = 7,375.22 × 1,629.43
  4. Step 4: Simplify right side
    4,916x = 12,017,404.72
  5. Step 5: Solve for x
    x = 12,017,404.72/4,916
  6. Step 6: Final answer
    x = 2,444.55

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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.