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Finding the Fourth Proportional to 5,550, 8,299.98 and 4,234.20

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Solution

The fourth proportional to 5,550, 8,299.98 and 4,234.20 is: 6,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550 : 8,299.98 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    5,550/8,299.98 = 4,234.20/x
  3. Step 3: Cross multiply
    5,550x = 8,299.98 × 4,234.20
  4. Step 4: Simplify right side
    5,550x = 35,143,775.32
  5. Step 5: Solve for x
    x = 35,143,775.32/5,550
  6. Step 6: Final answer
    x = 6,332.21

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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.