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Finding the Fourth Proportional to 21,168, 29,211.84 and 11,737.17

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Solution

The fourth proportional to 21,168, 29,211.84 and 11,737.17 is: 16,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168 : 29,211.84 = 11,737.17 : x
  2. Step 2: Convert to fraction form
    21,168/29,211.84 = 11,737.17/x
  3. Step 3: Cross multiply
    21,168x = 29,211.84 × 11,737.17
  4. Step 4: Simplify right side
    21,168x = 342,864,332.09
  5. Step 5: Solve for x
    x = 342,864,332.09/21,168
  6. Step 6: Final answer
    x = 16,197.29

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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.