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Finding the Fourth Proportional to 26,989, 37,249.86 and 15,811

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Solution

The fourth proportional to 26,989, 37,249.86 and 15,811 is: 21,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,989 : 37,249.86 = 15,811 : x
  2. Step 2: Convert to fraction form
    26,989/37,249.86 = 15,811/x
  3. Step 3: Cross multiply
    26,989x = 37,249.86 × 15,811
  4. Step 4: Simplify right side
    26,989x = 588,957,536.46
  5. Step 5: Solve for x
    x = 588,957,536.46/26,989
  6. Step 6: Final answer
    x = 21,822.13

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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.