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Finding the Fourth Proportional to 4,342.62, 6,509.82 and 3,944.87

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Solution

The fourth proportional to 4,342.62, 6,509.82 and 3,944.87 is: 5,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.62 : 6,509.82 = 3,944.87 : x
  2. Step 2: Convert to fraction form
    4,342.62/6,509.82 = 3,944.87/x
  3. Step 3: Cross multiply
    4,342.62x = 6,509.82 × 3,944.87
  4. Step 4: Simplify right side
    4,342.62x = 25,680,361.07
  5. Step 5: Solve for x
    x = 25,680,361.07/4,342.62
  6. Step 6: Final answer
    x = 5,913.56

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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.