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Finding the Fourth Proportional to 19,568, 27,003.84 and 11,184.68

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Solution

The fourth proportional to 19,568, 27,003.84 and 11,184.68 is: 15,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568 : 27,003.84 = 11,184.68 : x
  2. Step 2: Convert to fraction form
    19,568/27,003.84 = 11,184.68/x
  3. Step 3: Cross multiply
    19,568x = 27,003.84 × 11,184.68
  4. Step 4: Simplify right side
    19,568x = 302,029,309.17
  5. Step 5: Solve for x
    x = 302,029,309.17/19,568
  6. Step 6: Final answer
    x = 15,434.86

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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.