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Finding the Fourth Proportional to 3,942, 5,442.24 and 3,012.24

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Solution

The fourth proportional to 3,942, 5,442.24 and 3,012.24 is: 4,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 5,442.24 = 3,012.24 : x
  2. Step 2: Convert to fraction form
    3,942/5,442.24 = 3,012.24/x
  3. Step 3: Cross multiply
    3,942x = 5,442.24 × 3,012.24
  4. Step 4: Simplify right side
    3,942x = 16,393,333.02
  5. Step 5: Solve for x
    x = 16,393,333.02/3,942
  6. Step 6: Final answer
    x = 4,158.63

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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.