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Finding the Fourth Proportional to 5,144.45, 7,713.79 and 1,633.80

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Solution

The fourth proportional to 5,144.45, 7,713.79 and 1,633.80 is: 2,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.45 : 7,713.79 = 1,633.80 : x
  2. Step 2: Convert to fraction form
    5,144.45/7,713.79 = 1,633.80/x
  3. Step 3: Cross multiply
    5,144.45x = 7,713.79 × 1,633.80
  4. Step 4: Simplify right side
    5,144.45x = 12,602,814.94
  5. Step 5: Solve for x
    x = 12,602,814.94/5,144.45
  6. Step 6: Final answer
    x = 2,449.79

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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.