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Finding the Fourth Proportional to 3,952.42, 5,934.10 and 2,005.98

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Solution

The fourth proportional to 3,952.42, 5,934.10 and 2,005.98 is: 3,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.42 : 5,934.10 = 2,005.98 : x
  2. Step 2: Convert to fraction form
    3,952.42/5,934.10 = 2,005.98/x
  3. Step 3: Cross multiply
    3,952.42x = 5,934.10 × 2,005.98
  4. Step 4: Simplify right side
    3,952.42x = 11,903,685.92
  5. Step 5: Solve for x
    x = 11,903,685.92/3,952.42
  6. Step 6: Final answer
    x = 3,011.75

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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.