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Finding the Fourth Proportional to 2,133.28, 2,943.90 and 1,249.54

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Solution

The fourth proportional to 2,133.28, 2,943.90 and 1,249.54 is: 1,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.28 : 2,943.90 = 1,249.54 : x
  2. Step 2: Convert to fraction form
    2,133.28/2,943.90 = 1,249.54/x
  3. Step 3: Cross multiply
    2,133.28x = 2,943.90 × 1,249.54
  4. Step 4: Simplify right side
    2,133.28x = 3,678,520.81
  5. Step 5: Solve for x
    x = 3,678,520.81/2,133.28
  6. Step 6: Final answer
    x = 1,724.35

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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.