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Finding the Fourth Proportional to 12,651.70, 17,464.49 and 8,175.82

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Solution

The fourth proportional to 12,651.70, 17,464.49 and 8,175.82 is: 11,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.70 : 17,464.49 = 8,175.82 : x
  2. Step 2: Convert to fraction form
    12,651.70/17,464.49 = 8,175.82/x
  3. Step 3: Cross multiply
    12,651.70x = 17,464.49 × 8,175.82
  4. Step 4: Simplify right side
    12,651.70x = 142,786,482.97
  5. Step 5: Solve for x
    x = 142,786,482.97/12,651.70
  6. Step 6: Final answer
    x = 11,285.95

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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.