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Finding the Fourth Proportional to 7,938.48, 11,906.10 and 3,006.42

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Solution

The fourth proportional to 7,938.48, 11,906.10 and 3,006.42 is: 4,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.48 : 11,906.10 = 3,006.42 : x
  2. Step 2: Convert to fraction form
    7,938.48/11,906.10 = 3,006.42/x
  3. Step 3: Cross multiply
    7,938.48x = 11,906.10 × 3,006.42
  4. Step 4: Simplify right side
    7,938.48x = 35,794,737.16
  5. Step 5: Solve for x
    x = 35,794,737.16/7,938.48
  6. Step 6: Final answer
    x = 4,509.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.