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Finding the Fourth Proportional to 26,469, 39,703.52 and 11,877

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Solution

The fourth proportional to 26,469, 39,703.52 and 11,877 is: 17,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 39,703.52 = 11,877 : x
  2. Step 2: Convert to fraction form
    26,469/39,703.52 = 11,877/x
  3. Step 3: Cross multiply
    26,469x = 39,703.52 × 11,877
  4. Step 4: Simplify right side
    26,469x = 471,558,707.04
  5. Step 5: Solve for x
    x = 471,558,707.04/26,469
  6. Step 6: Final answer
    x = 17,815.51

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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.