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Finding the Fourth Proportional to 27,139.32, 40,704.90 and 15,899.82

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Solution

The fourth proportional to 27,139.32, 40,704.90 and 15,899.82 is: 23,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.32 : 40,704.90 = 15,899.82 : x
  2. Step 2: Convert to fraction form
    27,139.32/40,704.90 = 15,899.82/x
  3. Step 3: Cross multiply
    27,139.32x = 40,704.90 × 15,899.82
  4. Step 4: Simplify right side
    27,139.32x = 647,200,583.12
  5. Step 5: Solve for x
    x = 647,200,583.12/27,139.32
  6. Step 6: Final answer
    x = 23,847.34

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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.