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Finding the Fourth Proportional to 27,251.88, 40,879.20 and 7,530

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Solution

The fourth proportional to 27,251.88, 40,879.20 and 7,530 is: 11,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.88 : 40,879.20 = 7,530 : x
  2. Step 2: Convert to fraction form
    27,251.88/40,879.20 = 7,530/x
  3. Step 3: Cross multiply
    27,251.88x = 40,879.20 × 7,530
  4. Step 4: Simplify right side
    27,251.88x = 307,820,376
  5. Step 5: Solve for x
    x = 307,820,376/27,251.88
  6. Step 6: Final answer
    x = 11,295.38

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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.