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Finding the Fourth Proportional to 21,188, 29,238.43 and 11,627.66

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Solution

The fourth proportional to 21,188, 29,238.43 and 11,627.66 is: 16,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188 : 29,238.43 = 11,627.66 : x
  2. Step 2: Convert to fraction form
    21,188/29,238.43 = 11,627.66/x
  3. Step 3: Cross multiply
    21,188x = 29,238.43 × 11,627.66
  4. Step 4: Simplify right side
    21,188x = 339,974,522.97
  5. Step 5: Solve for x
    x = 339,974,522.97/21,188
  6. Step 6: Final answer
    x = 16,045.62

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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.