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Finding the Fourth Proportional to 12,382.78, 17,099.22 and 8,418.64

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Solution

The fourth proportional to 12,382.78, 17,099.22 and 8,418.64 is: 11,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.78 : 17,099.22 = 8,418.64 : x
  2. Step 2: Convert to fraction form
    12,382.78/17,099.22 = 8,418.64/x
  3. Step 3: Cross multiply
    12,382.78x = 17,099.22 × 8,418.64
  4. Step 4: Simplify right side
    12,382.78x = 143,952,177.46
  5. Step 5: Solve for x
    x = 143,952,177.46/12,382.78
  6. Step 6: Final answer
    x = 11,625.19

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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.