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Finding the Fourth Proportional to 12,131.68, 18,182.16 and 5,893.12

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Solution

The fourth proportional to 12,131.68, 18,182.16 and 5,893.12 is: 8,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.68 : 18,182.16 = 5,893.12 : x
  2. Step 2: Convert to fraction form
    12,131.68/18,182.16 = 5,893.12/x
  3. Step 3: Cross multiply
    12,131.68x = 18,182.16 × 5,893.12
  4. Step 4: Simplify right side
    12,131.68x = 107,149,650.74
  5. Step 5: Solve for x
    x = 107,149,650.74/12,131.68
  6. Step 6: Final answer
    x = 8,832.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.