Home / 5,078-7,007.90-2,982.80

Finding the Fourth Proportional to 5,078, 7,007.90 and 2,982.80

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Solution

The fourth proportional to 5,078, 7,007.90 and 2,982.80 is: 4,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078 : 7,007.90 = 2,982.80 : x
  2. Step 2: Convert to fraction form
    5,078/7,007.90 = 2,982.80/x
  3. Step 3: Cross multiply
    5,078x = 7,007.90 × 2,982.80
  4. Step 4: Simplify right side
    5,078x = 20,903,164.12
  5. Step 5: Solve for x
    x = 20,903,164.12/5,078
  6. Step 6: Final answer
    x = 4,116.42

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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.