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Finding the Fourth Proportional to 21,663, 29,894.94 and 11,727

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Solution

The fourth proportional to 21,663, 29,894.94 and 11,727 is: 16,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663 : 29,894.94 = 11,727 : x
  2. Step 2: Convert to fraction form
    21,663/29,894.94 = 11,727/x
  3. Step 3: Cross multiply
    21,663x = 29,894.94 × 11,727
  4. Step 4: Simplify right side
    21,663x = 350,577,961.38
  5. Step 5: Solve for x
    x = 350,577,961.38/21,663
  6. Step 6: Final answer
    x = 16,183.26

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1.5x scale

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.