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Finding the Fourth Proportional to 2,009.11, 2,773.16 and 1,224.58

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Solution

The fourth proportional to 2,009.11, 2,773.16 and 1,224.58 is: 1,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.11 : 2,773.16 = 1,224.58 : x
  2. Step 2: Convert to fraction form
    2,009.11/2,773.16 = 1,224.58/x
  3. Step 3: Cross multiply
    2,009.11x = 2,773.16 × 1,224.58
  4. Step 4: Simplify right side
    2,009.11x = 3,395,956.27
  5. Step 5: Solve for x
    x = 3,395,956.27/2,009.11
  6. Step 6: Final answer
    x = 1,690.28

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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.