Home / 5,217.31-7,827.42-2,099.50

Finding the Fourth Proportional to 5,217.31, 7,827.42 and 2,099.50

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Solution

The fourth proportional to 5,217.31, 7,827.42 and 2,099.50 is: 3,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.31 : 7,827.42 = 2,099.50 : x
  2. Step 2: Convert to fraction form
    5,217.31/7,827.42 = 2,099.50/x
  3. Step 3: Cross multiply
    5,217.31x = 7,827.42 × 2,099.50
  4. Step 4: Simplify right side
    5,217.31x = 16,433,668.29
  5. Step 5: Solve for x
    x = 16,433,668.29/5,217.31
  6. Step 6: Final answer
    x = 3,149.84

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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.