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Finding the Fourth Proportional to 26,990, 37,246.24 and 15,812

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Solution

The fourth proportional to 26,990, 37,246.24 and 15,812 is: 21,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,990 : 37,246.24 = 15,812 : x
  2. Step 2: Convert to fraction form
    26,990/37,246.24 = 15,812/x
  3. Step 3: Cross multiply
    26,990x = 37,246.24 × 15,812
  4. Step 4: Simplify right side
    26,990x = 588,937,546.88
  5. Step 5: Solve for x
    x = 588,937,546.88/26,990
  6. Step 6: Final answer
    x = 21,820.58

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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.