Home / 5,151.78-7,725.84-3,178.46

Finding the Fourth Proportional to 5,151.78, 7,725.84 and 3,178.46

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Solution

The fourth proportional to 5,151.78, 7,725.84 and 3,178.46 is: 4,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.78 : 7,725.84 = 3,178.46 : x
  2. Step 2: Convert to fraction form
    5,151.78/7,725.84 = 3,178.46/x
  3. Step 3: Cross multiply
    5,151.78x = 7,725.84 × 3,178.46
  4. Step 4: Simplify right side
    5,151.78x = 24,556,273.41
  5. Step 5: Solve for x
    x = 24,556,273.41/5,151.78
  6. Step 6: Final answer
    x = 4,766.56

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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.