Home / 5,205.14-7,800.96-3,968

Finding the Fourth Proportional to 5,205.14, 7,800.96 and 3,968

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Solution

The fourth proportional to 5,205.14, 7,800.96 and 3,968 is: 5,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.14 : 7,800.96 = 3,968 : x
  2. Step 2: Convert to fraction form
    5,205.14/7,800.96 = 3,968/x
  3. Step 3: Cross multiply
    5,205.14x = 7,800.96 × 3,968
  4. Step 4: Simplify right side
    5,205.14x = 30,954,209.28
  5. Step 5: Solve for x
    x = 30,954,209.28/5,205.14
  6. Step 6: Final answer
    x = 5,946.85

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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.