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Finding the Fourth Proportional to 21,054.78, 29,054.84 and 11,623.14

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Solution

The fourth proportional to 21,054.78, 29,054.84 and 11,623.14 is: 16,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.78 : 29,054.84 = 11,623.14 : x
  2. Step 2: Convert to fraction form
    21,054.78/29,054.84 = 11,623.14/x
  3. Step 3: Cross multiply
    21,054.78x = 29,054.84 × 11,623.14
  4. Step 4: Simplify right side
    21,054.78x = 337,708,414.88
  5. Step 5: Solve for x
    x = 337,708,414.88/21,054.78
  6. Step 6: Final answer
    x = 16,039.51

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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.