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Finding the Fourth Proportional to 26,691, 36,836.84 and 15,513

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Solution

The fourth proportional to 26,691, 36,836.84 and 15,513 is: 21,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691 : 36,836.84 = 15,513 : x
  2. Step 2: Convert to fraction form
    26,691/36,836.84 = 15,513/x
  3. Step 3: Cross multiply
    26,691x = 36,836.84 × 15,513
  4. Step 4: Simplify right side
    26,691x = 571,449,898.92
  5. Step 5: Solve for x
    x = 571,449,898.92/26,691
  6. Step 6: Final answer
    x = 21,409.83

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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.