Home / 7,085.81-9,778.42-3,942

Finding the Fourth Proportional to 7,085.81, 9,778.42 and 3,942

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Solution

The fourth proportional to 7,085.81, 9,778.42 and 3,942 is: 5,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.81 : 9,778.42 = 3,942 : x
  2. Step 2: Convert to fraction form
    7,085.81/9,778.42 = 3,942/x
  3. Step 3: Cross multiply
    7,085.81x = 9,778.42 × 3,942
  4. Step 4: Simplify right side
    7,085.81x = 38,546,536.57
  5. Step 5: Solve for x
    x = 38,546,536.57/7,085.81
  6. Step 6: Final answer
    x = 5,439.96

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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.