Home / 7,086.42-9,778.05-3,942

Finding the Fourth Proportional to 7,086.42, 9,778.05 and 3,942

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Solution

The fourth proportional to 7,086.42, 9,778.05 and 3,942 is: 5,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.42 : 9,778.05 = 3,942 : x
  2. Step 2: Convert to fraction form
    7,086.42/9,778.05 = 3,942/x
  3. Step 3: Cross multiply
    7,086.42x = 9,778.05 × 3,942
  4. Step 4: Simplify right side
    7,086.42x = 38,545,073.10
  5. Step 5: Solve for x
    x = 38,545,073.10/7,086.42
  6. Step 6: Final answer
    x = 5,439.29

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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.