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Finding the Fourth Proportional to 4,234.49, 6,350.49 and 1,272.80

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Solution

The fourth proportional to 4,234.49, 6,350.49 and 1,272.80 is: 1,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.49 : 6,350.49 = 1,272.80 : x
  2. Step 2: Convert to fraction form
    4,234.49/6,350.49 = 1,272.80/x
  3. Step 3: Cross multiply
    4,234.49x = 6,350.49 × 1,272.80
  4. Step 4: Simplify right side
    4,234.49x = 8,082,871.92
  5. Step 5: Solve for x
    x = 8,082,871.92/4,234.49
  6. Step 6: Final answer
    x = 1,908.82

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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.