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Finding the Fourth Proportional to 3,105.22, 4,657.84 and 796.72

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Solution

The fourth proportional to 3,105.22, 4,657.84 and 796.72 is: 1,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.22 : 4,657.84 = 796.72 : x
  2. Step 2: Convert to fraction form
    3,105.22/4,657.84 = 796.72/x
  3. Step 3: Cross multiply
    3,105.22x = 4,657.84 × 796.72
  4. Step 4: Simplify right side
    3,105.22x = 3,710,994.28
  5. Step 5: Solve for x
    x = 3,710,994.28/3,105.22
  6. Step 6: Final answer
    x = 1,195.08

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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.