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Finding the Fourth Proportional to 21,682, 29,921.20 and 11,746

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Solution

The fourth proportional to 21,682, 29,921.20 and 11,746 is: 16,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682 : 29,921.20 = 11,746 : x
  2. Step 2: Convert to fraction form
    21,682/29,921.20 = 11,746/x
  3. Step 3: Cross multiply
    21,682x = 29,921.20 × 11,746
  4. Step 4: Simplify right side
    21,682x = 351,454,415.20
  5. Step 5: Solve for x
    x = 351,454,415.20/21,682
  6. Step 6: Final answer
    x = 16,209.50

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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.