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Finding the Fourth Proportional to 12,226.24, 16,872.24 and 6,637.12

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Solution

The fourth proportional to 12,226.24, 16,872.24 and 6,637.12 is: 9,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.24 : 16,872.24 = 6,637.12 : x
  2. Step 2: Convert to fraction form
    12,226.24/16,872.24 = 6,637.12/x
  3. Step 3: Cross multiply
    12,226.24x = 16,872.24 × 6,637.12
  4. Step 4: Simplify right side
    12,226.24x = 111,983,081.55
  5. Step 5: Solve for x
    x = 111,983,081.55/12,226.24
  6. Step 6: Final answer
    x = 9,159.24

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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.