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Finding the Fourth Proportional to 9,938, 14,906.96 and 7,748.34

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Solution

The fourth proportional to 9,938, 14,906.96 and 7,748.34 is: 11,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938 : 14,906.96 = 7,748.34 : x
  2. Step 2: Convert to fraction form
    9,938/14,906.96 = 7,748.34/x
  3. Step 3: Cross multiply
    9,938x = 14,906.96 × 7,748.34
  4. Step 4: Simplify right side
    9,938x = 115,504,194.45
  5. Step 5: Solve for x
    x = 115,504,194.45/9,938
  6. Step 6: Final answer
    x = 11,622.48

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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.