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Finding the Fourth Proportional to 3,873.83, 5,812.16 and 3,742.61

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Solution

The fourth proportional to 3,873.83, 5,812.16 and 3,742.61 is: 5,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.83 : 5,812.16 = 3,742.61 : x
  2. Step 2: Convert to fraction form
    3,873.83/5,812.16 = 3,742.61/x
  3. Step 3: Cross multiply
    3,873.83x = 5,812.16 × 3,742.61
  4. Step 4: Simplify right side
    3,873.83x = 21,752,600.36
  5. Step 5: Solve for x
    x = 21,752,600.36/3,873.83
  6. Step 6: Final answer
    x = 5,615.28

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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.