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Finding the Fourth Proportional to 2,743.79, 4,115.79 and 2,284.81

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Solution

The fourth proportional to 2,743.79, 4,115.79 and 2,284.81 is: 3,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.79 : 4,115.79 = 2,284.81 : x
  2. Step 2: Convert to fraction form
    2,743.79/4,115.79 = 2,284.81/x
  3. Step 3: Cross multiply
    2,743.79x = 4,115.79 × 2,284.81
  4. Step 4: Simplify right side
    2,743.79x = 9,403,787.86
  5. Step 5: Solve for x
    x = 9,403,787.86/2,743.79
  6. Step 6: Final answer
    x = 3,427.30

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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.