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Finding the Fourth Proportional to 51,591, 77,391 and 14,655

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Solution

The fourth proportional to 51,591, 77,391 and 14,655 is: 21,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,591 : 77,391 = 14,655 : x
  2. Step 2: Convert to fraction form
    51,591/77,391 = 14,655/x
  3. Step 3: Cross multiply
    51,591x = 77,391 × 14,655
  4. Step 4: Simplify right side
    51,591x = 1,134,165,105
  5. Step 5: Solve for x
    x = 1,134,165,105/51,591
  6. Step 6: Final answer
    x = 21,983.78

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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.