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Finding the Fourth Proportional to 26,786.64, 36,965.27 and 15,456

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Solution

The fourth proportional to 26,786.64, 36,965.27 and 15,456 is: 21,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786.64 : 36,965.27 = 15,456 : x
  2. Step 2: Convert to fraction form
    26,786.64/36,965.27 = 15,456/x
  3. Step 3: Cross multiply
    26,786.64x = 36,965.27 × 15,456
  4. Step 4: Simplify right side
    26,786.64x = 571,335,251.76
  5. Step 5: Solve for x
    x = 571,335,251.76/26,786.64
  6. Step 6: Final answer
    x = 21,329.11

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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.