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Finding the Fourth Proportional to 5,500.50, 8,249.13 and 1,603.98

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Solution

The fourth proportional to 5,500.50, 8,249.13 and 1,603.98 is: 2,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.50 : 8,249.13 = 1,603.98 : x
  2. Step 2: Convert to fraction form
    5,500.50/8,249.13 = 1,603.98/x
  3. Step 3: Cross multiply
    5,500.50x = 8,249.13 × 1,603.98
  4. Step 4: Simplify right side
    5,500.50x = 13,231,439.54
  5. Step 5: Solve for x
    x = 13,231,439.54/5,500.50
  6. Step 6: Final answer
    x = 2,405.50

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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.