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Finding the Fourth Proportional to 3,879.52, 5,840.60 and 3,419.92

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Solution

The fourth proportional to 3,879.52, 5,840.60 and 3,419.92 is: 5,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.52 : 5,840.60 = 3,419.92 : x
  2. Step 2: Convert to fraction form
    3,879.52/5,840.60 = 3,419.92/x
  3. Step 3: Cross multiply
    3,879.52x = 5,840.60 × 3,419.92
  4. Step 4: Simplify right side
    3,879.52x = 19,974,384.75
  5. Step 5: Solve for x
    x = 19,974,384.75/3,879.52
  6. Step 6: Final answer
    x = 5,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.