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Finding the Fourth Proportional to 1,830.70, 2,741.92 and 1,769.19

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Solution

The fourth proportional to 1,830.70, 2,741.92 and 1,769.19 is: 2,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.70 : 2,741.92 = 1,769.19 : x
  2. Step 2: Convert to fraction form
    1,830.70/2,741.92 = 1,769.19/x
  3. Step 3: Cross multiply
    1,830.70x = 2,741.92 × 1,769.19
  4. Step 4: Simplify right side
    1,830.70x = 4,850,977.44
  5. Step 5: Solve for x
    x = 4,850,977.44/1,830.70
  6. Step 6: Final answer
    x = 2,649.79

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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.