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Finding the Fourth Proportional to 5,449.68, 8,172.09 and 1,984.50

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Solution

The fourth proportional to 5,449.68, 8,172.09 and 1,984.50 is: 2,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.68 : 8,172.09 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    5,449.68/8,172.09 = 1,984.50/x
  3. Step 3: Cross multiply
    5,449.68x = 8,172.09 × 1,984.50
  4. Step 4: Simplify right side
    5,449.68x = 16,217,512.61
  5. Step 5: Solve for x
    x = 16,217,512.61/5,449.68
  6. Step 6: Final answer
    x = 2,975.87

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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.