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Finding the Fourth Proportional to 19,719, 27,212.22 and 10,887

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Solution

The fourth proportional to 19,719, 27,212.22 and 10,887 is: 15,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 27,212.22 = 10,887 : x
  2. Step 2: Convert to fraction form
    19,719/27,212.22 = 10,887/x
  3. Step 3: Cross multiply
    19,719x = 27,212.22 × 10,887
  4. Step 4: Simplify right side
    19,719x = 296,259,439.14
  5. Step 5: Solve for x
    x = 296,259,439.14/19,719
  6. Step 6: Final answer
    x = 15,024.06

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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.