Home / 1,983.78-2,738.00-1,144.46

Finding the Fourth Proportional to 1,983.78, 2,738.00 and 1,144.46

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Solution

The fourth proportional to 1,983.78, 2,738.00 and 1,144.46 is: 1,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.78 : 2,738.00 = 1,144.46 : x
  2. Step 2: Convert to fraction form
    1,983.78/2,738.00 = 1,144.46/x
  3. Step 3: Cross multiply
    1,983.78x = 2,738.00 × 1,144.46
  4. Step 4: Simplify right side
    1,983.78x = 3,133,541.19
  5. Step 5: Solve for x
    x = 3,133,541.19/1,983.78
  6. Step 6: Final answer
    x = 1,579.58

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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.