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Finding the Fourth Proportional to 12,218, 18,327 and 4,426.82

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Solution

The fourth proportional to 12,218, 18,327 and 4,426.82 is: 6,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 18,327 = 4,426.82 : x
  2. Step 2: Convert to fraction form
    12,218/18,327 = 4,426.82/x
  3. Step 3: Cross multiply
    12,218x = 18,327 × 4,426.82
  4. Step 4: Simplify right side
    12,218x = 81,130,238.51
  5. Step 5: Solve for x
    x = 81,130,238.51/12,218
  6. Step 6: Final answer
    x = 6,640.22

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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.