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Finding the Fourth Proportional to 3,063, 4,226.97 and 1,665.78

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Solution

The fourth proportional to 3,063, 4,226.97 and 1,665.78 is: 2,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063 : 4,226.97 = 1,665.78 : x
  2. Step 2: Convert to fraction form
    3,063/4,226.97 = 1,665.78/x
  3. Step 3: Cross multiply
    3,063x = 4,226.97 × 1,665.78
  4. Step 4: Simplify right side
    3,063x = 7,041,202.09
  5. Step 5: Solve for x
    x = 7,041,202.09/3,063
  6. Step 6: Final answer
    x = 2,298.79

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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.