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Finding the Fourth Proportional to 12,625.84, 17,420.16 and 8,149.78

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Solution

The fourth proportional to 12,625.84, 17,420.16 and 8,149.78 is: 11,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625.84 : 17,420.16 = 8,149.78 : x
  2. Step 2: Convert to fraction form
    12,625.84/17,420.16 = 8,149.78/x
  3. Step 3: Cross multiply
    12,625.84x = 17,420.16 × 8,149.78
  4. Step 4: Simplify right side
    12,625.84x = 141,970,471.56
  5. Step 5: Solve for x
    x = 141,970,471.56/12,625.84
  6. Step 6: Final answer
    x = 11,244.44

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1.5x scale

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.