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Finding the Fourth Proportional to 4,940.40, 7,414.65 and 4,778.40

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Solution

The fourth proportional to 4,940.40, 7,414.65 and 4,778.40 is: 7,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.40 : 7,414.65 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    4,940.40/7,414.65 = 4,778.40/x
  3. Step 3: Cross multiply
    4,940.40x = 7,414.65 × 4,778.40
  4. Step 4: Simplify right side
    4,940.40x = 35,430,163.56
  5. Step 5: Solve for x
    x = 35,430,163.56/4,940.40
  6. Step 6: Final answer
    x = 7,171.52

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1.5x scale

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.