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Finding the Fourth Proportional to 3,107.76, 4,662.34 and 1,027.68

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Solution

The fourth proportional to 3,107.76, 4,662.34 and 1,027.68 is: 1,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.76 : 4,662.34 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    3,107.76/4,662.34 = 1,027.68/x
  3. Step 3: Cross multiply
    3,107.76x = 4,662.34 × 1,027.68
  4. Step 4: Simplify right side
    3,107.76x = 4,791,393.57
  5. Step 5: Solve for x
    x = 4,791,393.57/3,107.76
  6. Step 6: Final answer
    x = 1,541.75

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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.