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Finding the Fourth Proportional to 19,877, 27,430.26 and 11,494.04

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Solution

The fourth proportional to 19,877, 27,430.26 and 11,494.04 is: 15,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877 : 27,430.26 = 11,494.04 : x
  2. Step 2: Convert to fraction form
    19,877/27,430.26 = 11,494.04/x
  3. Step 3: Cross multiply
    19,877x = 27,430.26 × 11,494.04
  4. Step 4: Simplify right side
    19,877x = 315,284,505.65
  5. Step 5: Solve for x
    x = 315,284,505.65/19,877
  6. Step 6: Final answer
    x = 15,861.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.