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Finding the Fourth Proportional to 12,381.66, 18,578.86 and 8,224.54

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Solution

The fourth proportional to 12,381.66, 18,578.86 and 8,224.54 is: 12,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.66 : 18,578.86 = 8,224.54 : x
  2. Step 2: Convert to fraction form
    12,381.66/18,578.86 = 8,224.54/x
  3. Step 3: Cross multiply
    12,381.66x = 18,578.86 × 8,224.54
  4. Step 4: Simplify right side
    12,381.66x = 152,802,577.22
  5. Step 5: Solve for x
    x = 152,802,577.22/12,381.66
  6. Step 6: Final answer
    x = 12,341.04

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1.5x scale

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.