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Finding the Fourth Proportional to 2,247, 3,100.74 and 1,252.20

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Solution

The fourth proportional to 2,247, 3,100.74 and 1,252.20 is: 1,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,100.74 = 1,252.20 : x
  2. Step 2: Convert to fraction form
    2,247/3,100.74 = 1,252.20/x
  3. Step 3: Cross multiply
    2,247x = 3,100.74 × 1,252.20
  4. Step 4: Simplify right side
    2,247x = 3,882,746.63
  5. Step 5: Solve for x
    x = 3,882,746.63/2,247
  6. Step 6: Final answer
    x = 1,727.97

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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.