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Finding the Fourth Proportional to 9,961.44, 14,947.20 and 7,620

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Solution

The fourth proportional to 9,961.44, 14,947.20 and 7,620 is: 11,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.44 : 14,947.20 = 7,620 : x
  2. Step 2: Convert to fraction form
    9,961.44/14,947.20 = 7,620/x
  3. Step 3: Cross multiply
    9,961.44x = 14,947.20 × 7,620
  4. Step 4: Simplify right side
    9,961.44x = 113,897,664
  5. Step 5: Solve for x
    x = 113,897,664/9,961.44
  6. Step 6: Final answer
    x = 11,433.86

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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.