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Finding the Fourth Proportional to 12,663.52, 17,476.32 and 8,188

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Solution

The fourth proportional to 12,663.52, 17,476.32 and 8,188 is: 11,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.52 : 17,476.32 = 8,188 : x
  2. Step 2: Convert to fraction form
    12,663.52/17,476.32 = 8,188/x
  3. Step 3: Cross multiply
    12,663.52x = 17,476.32 × 8,188
  4. Step 4: Simplify right side
    12,663.52x = 143,096,108.16
  5. Step 5: Solve for x
    x = 143,096,108.16/12,663.52
  6. Step 6: Final answer
    x = 11,299.87

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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.