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Finding the Fourth Proportional to 21,171.12, 31,757 and 10,079

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Solution

The fourth proportional to 21,171.12, 31,757 and 10,079 is: 15,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.12 : 31,757 = 10,079 : x
  2. Step 2: Convert to fraction form
    21,171.12/31,757 = 10,079/x
  3. Step 3: Cross multiply
    21,171.12x = 31,757 × 10,079
  4. Step 4: Simplify right side
    21,171.12x = 320,078,803
  5. Step 5: Solve for x
    x = 320,078,803/21,171.12
  6. Step 6: Final answer
    x = 15,118.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.