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Finding the Fourth Proportional to 12,694.80, 19,027.48 and 7,505.04

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Solution

The fourth proportional to 12,694.80, 19,027.48 and 7,505.04 is: 11,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.80 : 19,027.48 = 7,505.04 : x
  2. Step 2: Convert to fraction form
    12,694.80/19,027.48 = 7,505.04/x
  3. Step 3: Cross multiply
    12,694.80x = 19,027.48 × 7,505.04
  4. Step 4: Simplify right side
    12,694.80x = 142,801,998.50
  5. Step 5: Solve for x
    x = 142,801,998.50/12,694.80
  6. Step 6: Final answer
    x = 11,248.86

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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.