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Finding the Fourth Proportional to 5,200.65, 7,794.90 and 2,734.20

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Solution

The fourth proportional to 5,200.65, 7,794.90 and 2,734.20 is: 4,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,794.90 = 2,734.20 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,794.90 = 2,734.20/x
  3. Step 3: Cross multiply
    5,200.65x = 7,794.90 × 2,734.20
  4. Step 4: Simplify right side
    5,200.65x = 21,312,815.58
  5. Step 5: Solve for x
    x = 21,312,815.58/5,200.65
  6. Step 6: Final answer
    x = 4,098.11

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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.