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Finding the Fourth Proportional to 21,057.84, 29,058.60 and 11,625.84

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Solution

The fourth proportional to 21,057.84, 29,058.60 and 11,625.84 is: 16,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.84 : 29,058.60 = 11,625.84 : x
  2. Step 2: Convert to fraction form
    21,057.84/29,058.60 = 11,625.84/x
  3. Step 3: Cross multiply
    21,057.84x = 29,058.60 × 11,625.84
  4. Step 4: Simplify right side
    21,057.84x = 337,830,634.22
  5. Step 5: Solve for x
    x = 337,830,634.22/21,057.84
  6. Step 6: Final answer
    x = 16,042.99

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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.