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Finding the Fourth Proportional to 2,665.83, 3,679.41 and 1,769.64

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Solution

The fourth proportional to 2,665.83, 3,679.41 and 1,769.64 is: 2,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.83 : 3,679.41 = 1,769.64 : x
  2. Step 2: Convert to fraction form
    2,665.83/3,679.41 = 1,769.64/x
  3. Step 3: Cross multiply
    2,665.83x = 3,679.41 × 1,769.64
  4. Step 4: Simplify right side
    2,665.83x = 6,511,231.11
  5. Step 5: Solve for x
    x = 6,511,231.11/2,665.83
  6. Step 6: Final answer
    x = 2,442.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.