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Finding the Fourth Proportional to 2,738.06, 4,107.80 and 790.42

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Solution

The fourth proportional to 2,738.06, 4,107.80 and 790.42 is: 1,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.06 : 4,107.80 = 790.42 : x
  2. Step 2: Convert to fraction form
    2,738.06/4,107.80 = 790.42/x
  3. Step 3: Cross multiply
    2,738.06x = 4,107.80 × 790.42
  4. Step 4: Simplify right side
    2,738.06x = 3,246,887.28
  5. Step 5: Solve for x
    x = 3,246,887.28/2,738.06
  6. Step 6: Final answer
    x = 1,185.83

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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.