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Finding the Fourth Proportional to 7,938.02, 11,902.70 and 3,778.97

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Solution

The fourth proportional to 7,938.02, 11,902.70 and 3,778.97 is: 5,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.02 : 11,902.70 = 3,778.97 : x
  2. Step 2: Convert to fraction form
    7,938.02/11,902.70 = 3,778.97/x
  3. Step 3: Cross multiply
    7,938.02x = 11,902.70 × 3,778.97
  4. Step 4: Simplify right side
    7,938.02x = 44,979,867.81
  5. Step 5: Solve for x
    x = 44,979,867.81/7,938.02
  6. Step 6: Final answer
    x = 5,666.39

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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.