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Finding the Fourth Proportional to 21,355.44, 29,471.81 and 11,924

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Solution

The fourth proportional to 21,355.44, 29,471.81 and 11,924 is: 16,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.44 : 29,471.81 = 11,924 : x
  2. Step 2: Convert to fraction form
    21,355.44/29,471.81 = 11,924/x
  3. Step 3: Cross multiply
    21,355.44x = 29,471.81 × 11,924
  4. Step 4: Simplify right side
    21,355.44x = 351,421,862.44
  5. Step 5: Solve for x
    x = 351,421,862.44/21,355.44
  6. Step 6: Final answer
    x = 16,455.85

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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.