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Finding the Fourth Proportional to 19,642.76, 27,107 and 11,259.24

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Solution

The fourth proportional to 19,642.76, 27,107 and 11,259.24 is: 15,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.76 : 27,107 = 11,259.24 : x
  2. Step 2: Convert to fraction form
    19,642.76/27,107 = 11,259.24/x
  3. Step 3: Cross multiply
    19,642.76x = 27,107 × 11,259.24
  4. Step 4: Simplify right side
    19,642.76x = 305,204,218.68
  5. Step 5: Solve for x
    x = 305,204,218.68/19,642.76
  6. Step 6: Final answer
    x = 15,537.75

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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.