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Finding the Fourth Proportional to 7,938.50, 11,908.04 and 3,008.50

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Solution

The fourth proportional to 7,938.50, 11,908.04 and 3,008.50 is: 4,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.50 : 11,908.04 = 3,008.50 : x
  2. Step 2: Convert to fraction form
    7,938.50/11,908.04 = 3,008.50/x
  3. Step 3: Cross multiply
    7,938.50x = 11,908.04 × 3,008.50
  4. Step 4: Simplify right side
    7,938.50x = 35,825,338.34
  5. Step 5: Solve for x
    x = 35,825,338.34/7,938.50
  6. Step 6: Final answer
    x = 4,512.86

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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.