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Finding the Fourth Proportional to 7,478.70, 11,201.49 and 3,957.90

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Solution

The fourth proportional to 7,478.70, 11,201.49 and 3,957.90 is: 5,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.70 : 11,201.49 = 3,957.90 : x
  2. Step 2: Convert to fraction form
    7,478.70/11,201.49 = 3,957.90/x
  3. Step 3: Cross multiply
    7,478.70x = 11,201.49 × 3,957.90
  4. Step 4: Simplify right side
    7,478.70x = 44,334,377.27
  5. Step 5: Solve for x
    x = 44,334,377.27/7,478.70
  6. Step 6: Final answer
    x = 5,928.09

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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.