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Finding the Fourth Proportional to 2,133.53, 2,944.53 and 1,249.31

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Solution

The fourth proportional to 2,133.53, 2,944.53 and 1,249.31 is: 1,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.53 : 2,944.53 = 1,249.31 : x
  2. Step 2: Convert to fraction form
    2,133.53/2,944.53 = 1,249.31/x
  3. Step 3: Cross multiply
    2,133.53x = 2,944.53 × 1,249.31
  4. Step 4: Simplify right side
    2,133.53x = 3,678,616.05
  5. Step 5: Solve for x
    x = 3,678,616.05/2,133.53
  6. Step 6: Final answer
    x = 1,724.20

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1.5x scale

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.