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Finding the Fourth Proportional to 16,182.64, 22,320.12 and 12,203.92

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Solution

The fourth proportional to 16,182.64, 22,320.12 and 12,203.92 is: 16,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.64 : 22,320.12 = 12,203.92 : x
  2. Step 2: Convert to fraction form
    16,182.64/22,320.12 = 12,203.92/x
  3. Step 3: Cross multiply
    16,182.64x = 22,320.12 × 12,203.92
  4. Step 4: Simplify right side
    16,182.64x = 272,392,958.87
  5. Step 5: Solve for x
    x = 272,392,958.87/16,182.64
  6. Step 6: Final answer
    x = 16,832.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.