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Finding the Fourth Proportional to 17,439, 26,163.54 and 5,127

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Solution

The fourth proportional to 17,439, 26,163.54 and 5,127 is: 7,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,439 : 26,163.54 = 5,127 : x
  2. Step 2: Convert to fraction form
    17,439/26,163.54 = 5,127/x
  3. Step 3: Cross multiply
    17,439x = 26,163.54 × 5,127
  4. Step 4: Simplify right side
    17,439x = 134,140,469.58
  5. Step 5: Solve for x
    x = 134,140,469.58/17,439
  6. Step 6: Final answer
    x = 7,691.98

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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.