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Finding the Fourth Proportional to 14,502.16, 20,016.20 and 8,218

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Solution

The fourth proportional to 14,502.16, 20,016.20 and 8,218 is: 11,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.16 : 20,016.20 = 8,218 : x
  2. Step 2: Convert to fraction form
    14,502.16/20,016.20 = 8,218/x
  3. Step 3: Cross multiply
    14,502.16x = 20,016.20 × 8,218
  4. Step 4: Simplify right side
    14,502.16x = 164,493,131.60
  5. Step 5: Solve for x
    x = 164,493,131.60/14,502.16
  6. Step 6: Final answer
    x = 11,342.66

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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.