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Finding the Fourth Proportional to 2,640.64, 3,958.52 and 1,254.63

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Solution

The fourth proportional to 2,640.64, 3,958.52 and 1,254.63 is: 1,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.64 : 3,958.52 = 1,254.63 : x
  2. Step 2: Convert to fraction form
    2,640.64/3,958.52 = 1,254.63/x
  3. Step 3: Cross multiply
    2,640.64x = 3,958.52 × 1,254.63
  4. Step 4: Simplify right side
    2,640.64x = 4,966,481.08
  5. Step 5: Solve for x
    x = 4,966,481.08/2,640.64
  6. Step 6: Final answer
    x = 1,880.79

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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.