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Finding the Fourth Proportional to 2,796.48, 4,188.65 and 1,819.62

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Solution

The fourth proportional to 2,796.48, 4,188.65 and 1,819.62 is: 2,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.48 : 4,188.65 = 1,819.62 : x
  2. Step 2: Convert to fraction form
    2,796.48/4,188.65 = 1,819.62/x
  3. Step 3: Cross multiply
    2,796.48x = 4,188.65 × 1,819.62
  4. Step 4: Simplify right side
    2,796.48x = 7,621,742.21
  5. Step 5: Solve for x
    x = 7,621,742.21/2,796.48
  6. Step 6: Final answer
    x = 2,725.48

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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.