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Finding the Fourth Proportional to 27,219.85, 40,829.97 and 7,499.49

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Solution

The fourth proportional to 27,219.85, 40,829.97 and 7,499.49 is: 11,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.85 : 40,829.97 = 7,499.49 : x
  2. Step 2: Convert to fraction form
    27,219.85/40,829.97 = 7,499.49/x
  3. Step 3: Cross multiply
    27,219.85x = 40,829.97 × 7,499.49
  4. Step 4: Simplify right side
    27,219.85x = 306,203,826.73
  5. Step 5: Solve for x
    x = 306,203,826.73/27,219.85
  6. Step 6: Final answer
    x = 11,249.29

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1.5x scale

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.