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Finding the Fourth Proportional to 2,738.70, 4,108.65 and 790.83

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Solution

The fourth proportional to 2,738.70, 4,108.65 and 790.83 is: 1,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.70 : 4,108.65 = 790.83 : x
  2. Step 2: Convert to fraction form
    2,738.70/4,108.65 = 790.83/x
  3. Step 3: Cross multiply
    2,738.70x = 4,108.65 × 790.83
  4. Step 4: Simplify right side
    2,738.70x = 3,249,243.68
  5. Step 5: Solve for x
    x = 3,249,243.68/2,738.70
  6. Step 6: Final answer
    x = 1,186.42

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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.