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Finding the Fourth Proportional to 19,805.50, 27,331.59 and 11,422

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Solution

The fourth proportional to 19,805.50, 27,331.59 and 11,422 is: 15,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.50 : 27,331.59 = 11,422 : x
  2. Step 2: Convert to fraction form
    19,805.50/27,331.59 = 11,422/x
  3. Step 3: Cross multiply
    19,805.50x = 27,331.59 × 11,422
  4. Step 4: Simplify right side
    19,805.50x = 312,181,420.98
  5. Step 5: Solve for x
    x = 312,181,420.98/19,805.50
  6. Step 6: Final answer
    x = 15,762.36

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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.