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Finding the Fourth Proportional to 3,811.85, 5,717.93 and 1,346.32

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Solution

The fourth proportional to 3,811.85, 5,717.93 and 1,346.32 is: 2,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.85 : 5,717.93 = 1,346.32 : x
  2. Step 2: Convert to fraction form
    3,811.85/5,717.93 = 1,346.32/x
  3. Step 3: Cross multiply
    3,811.85x = 5,717.93 × 1,346.32
  4. Step 4: Simplify right side
    3,811.85x = 7,698,163.52
  5. Step 5: Solve for x
    x = 7,698,163.52/3,811.85
  6. Step 6: Final answer
    x = 2,019.53

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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.