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Finding the Fourth Proportional to 3,878.22, 5,817.53 and 1,105.09

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Solution

The fourth proportional to 3,878.22, 5,817.53 and 1,105.09 is: 1,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.22 : 5,817.53 = 1,105.09 : x
  2. Step 2: Convert to fraction form
    3,878.22/5,817.53 = 1,105.09/x
  3. Step 3: Cross multiply
    3,878.22x = 5,817.53 × 1,105.09
  4. Step 4: Simplify right side
    3,878.22x = 6,428,894.23
  5. Step 5: Solve for x
    x = 6,428,894.23/3,878.22
  6. Step 6: Final answer
    x = 1,657.69

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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.