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Finding the Fourth Proportional to 19,661, 27,132.18 and 10,829

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Solution

The fourth proportional to 19,661, 27,132.18 and 10,829 is: 14,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661 : 27,132.18 = 10,829 : x
  2. Step 2: Convert to fraction form
    19,661/27,132.18 = 10,829/x
  3. Step 3: Cross multiply
    19,661x = 27,132.18 × 10,829
  4. Step 4: Simplify right side
    19,661x = 293,814,377.22
  5. Step 5: Solve for x
    x = 293,814,377.22/19,661
  6. Step 6: Final answer
    x = 14,944.02

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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.