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Finding the Fourth Proportional to 2,246.52, 3,100 and 1,251.64

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Solution

The fourth proportional to 2,246.52, 3,100 and 1,251.64 is: 1,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.52 : 3,100 = 1,251.64 : x
  2. Step 2: Convert to fraction form
    2,246.52/3,100 = 1,251.64/x
  3. Step 3: Cross multiply
    2,246.52x = 3,100 × 1,251.64
  4. Step 4: Simplify right side
    2,246.52x = 3,880,084.00
  5. Step 5: Solve for x
    x = 3,880,084.00/2,246.52
  6. Step 6: Final answer
    x = 1,727.15

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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.