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Finding the Fourth Proportional to 12,226, 16,872.08 and 6,637

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Solution

The fourth proportional to 12,226, 16,872.08 and 6,637 is: 9,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 16,872.08 = 6,637 : x
  2. Step 2: Convert to fraction form
    12,226/16,872.08 = 6,637/x
  3. Step 3: Cross multiply
    12,226x = 16,872.08 × 6,637
  4. Step 4: Simplify right side
    12,226x = 111,979,994.96
  5. Step 5: Solve for x
    x = 111,979,994.96/12,226
  6. Step 6: Final answer
    x = 9,159.17

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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.