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Finding the Fourth Proportional to 19,641.12, 27,101.70 and 11,256

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Solution

The fourth proportional to 19,641.12, 27,101.70 and 11,256 is: 15,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.12 : 27,101.70 = 11,256 : x
  2. Step 2: Convert to fraction form
    19,641.12/27,101.70 = 11,256/x
  3. Step 3: Cross multiply
    19,641.12x = 27,101.70 × 11,256
  4. Step 4: Simplify right side
    19,641.12x = 305,056,735.20
  5. Step 5: Solve for x
    x = 305,056,735.20/19,641.12
  6. Step 6: Final answer
    x = 15,531.53

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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.