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Finding the Fourth Proportional to 3,874.51, 5,810.61 and 1,101.42

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Solution

The fourth proportional to 3,874.51, 5,810.61 and 1,101.42 is: 1,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.51 : 5,810.61 = 1,101.42 : x
  2. Step 2: Convert to fraction form
    3,874.51/5,810.61 = 1,101.42/x
  3. Step 3: Cross multiply
    3,874.51x = 5,810.61 × 1,101.42
  4. Step 4: Simplify right side
    3,874.51x = 6,399,922.07
  5. Step 5: Solve for x
    x = 6,399,922.07/3,874.51
  6. Step 6: Final answer
    x = 1,651.80

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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.