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Finding the Fourth Proportional to 20,187.72, 27,858.80 and 11,235

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Solution

The fourth proportional to 20,187.72, 27,858.80 and 11,235 is: 15,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.72 : 27,858.80 = 11,235 : x
  2. Step 2: Convert to fraction form
    20,187.72/27,858.80 = 11,235/x
  3. Step 3: Cross multiply
    20,187.72x = 27,858.80 × 11,235
  4. Step 4: Simplify right side
    20,187.72x = 312,993,618
  5. Step 5: Solve for x
    x = 312,993,618/20,187.72
  6. Step 6: Final answer
    x = 15,504.16

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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.