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Finding the Fourth Proportional to 3,107.78, 4,659.47 and 1,463.48

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Solution

The fourth proportional to 3,107.78, 4,659.47 and 1,463.48 is: 2,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.78 : 4,659.47 = 1,463.48 : x
  2. Step 2: Convert to fraction form
    3,107.78/4,659.47 = 1,463.48/x
  3. Step 3: Cross multiply
    3,107.78x = 4,659.47 × 1,463.48
  4. Step 4: Simplify right side
    3,107.78x = 6,819,033.84
  5. Step 5: Solve for x
    x = 6,819,033.84/3,107.78
  6. Step 6: Final answer
    x = 2,194.18

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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.