Home / 2,738.24-4,107.54-983.06

Finding the Fourth Proportional to 2,738.24, 4,107.54 and 983.06

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Solution

The fourth proportional to 2,738.24, 4,107.54 and 983.06 is: 1,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.24 : 4,107.54 = 983.06 : x
  2. Step 2: Convert to fraction form
    2,738.24/4,107.54 = 983.06/x
  3. Step 3: Cross multiply
    2,738.24x = 4,107.54 × 983.06
  4. Step 4: Simplify right side
    2,738.24x = 4,037,958.27
  5. Step 5: Solve for x
    x = 4,037,958.27/2,738.24
  6. Step 6: Final answer
    x = 1,474.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.