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Finding the Fourth Proportional to 2,244.63, 3,097.48 and 1,250

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Solution

The fourth proportional to 2,244.63, 3,097.48 and 1,250 is: 1,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.63 : 3,097.48 = 1,250 : x
  2. Step 2: Convert to fraction form
    2,244.63/3,097.48 = 1,250/x
  3. Step 3: Cross multiply
    2,244.63x = 3,097.48 × 1,250
  4. Step 4: Simplify right side
    2,244.63x = 3,871,850
  5. Step 5: Solve for x
    x = 3,871,850/2,244.63
  6. Step 6: Final answer
    x = 1,724.94

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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.