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Finding the Fourth Proportional to 12,854.78, 17,736 and 8,075.24

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Solution

The fourth proportional to 12,854.78, 17,736 and 8,075.24 is: 11,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.78 : 17,736 = 8,075.24 : x
  2. Step 2: Convert to fraction form
    12,854.78/17,736 = 8,075.24/x
  3. Step 3: Cross multiply
    12,854.78x = 17,736 × 8,075.24
  4. Step 4: Simplify right side
    12,854.78x = 143,222,456.64
  5. Step 5: Solve for x
    x = 143,222,456.64/12,854.78
  6. Step 6: Final answer
    x = 11,141.57

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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.