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Finding the Fourth Proportional to 21,702, 29,948.76 and 11,766

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Solution

The fourth proportional to 21,702, 29,948.76 and 11,766 is: 16,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 29,948.76 = 11,766 : x
  2. Step 2: Convert to fraction form
    21,702/29,948.76 = 11,766/x
  3. Step 3: Cross multiply
    21,702x = 29,948.76 × 11,766
  4. Step 4: Simplify right side
    21,702x = 352,377,110.16
  5. Step 5: Solve for x
    x = 352,377,110.16/21,702
  6. Step 6: Final answer
    x = 16,237.08

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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.