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Finding the Fourth Proportional to 19,648.65, 29,485.13 and 7,961.97

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Solution

The fourth proportional to 19,648.65, 29,485.13 and 7,961.97 is: 11,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.65 : 29,485.13 = 7,961.97 : x
  2. Step 2: Convert to fraction form
    19,648.65/29,485.13 = 7,961.97/x
  3. Step 3: Cross multiply
    19,648.65x = 29,485.13 × 7,961.97
  4. Step 4: Simplify right side
    19,648.65x = 234,759,680.70
  5. Step 5: Solve for x
    x = 234,759,680.70/19,648.65
  6. Step 6: Final answer
    x = 11,947.88

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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.