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Finding the Fourth Proportional to 15,843, 21,843.45 and 10,167.74

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Solution

The fourth proportional to 15,843, 21,843.45 and 10,167.74 is: 14,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843 : 21,843.45 = 10,167.74 : x
  2. Step 2: Convert to fraction form
    15,843/21,843.45 = 10,167.74/x
  3. Step 3: Cross multiply
    15,843x = 21,843.45 × 10,167.74
  4. Step 4: Simplify right side
    15,843x = 222,098,411.09
  5. Step 5: Solve for x
    x = 222,098,411.09/15,843
  6. Step 6: Final answer
    x = 14,018.71

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1.5x scale

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.