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Finding the Fourth Proportional to 26,843, 40,270.26 and 10,427

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Solution

The fourth proportional to 26,843, 40,270.26 and 10,427 is: 15,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,843 : 40,270.26 = 10,427 : x
  2. Step 2: Convert to fraction form
    26,843/40,270.26 = 10,427/x
  3. Step 3: Cross multiply
    26,843x = 40,270.26 × 10,427
  4. Step 4: Simplify right side
    26,843x = 419,898,001.02
  5. Step 5: Solve for x
    x = 419,898,001.02/26,843
  6. Step 6: Final answer
    x = 15,642.74

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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.