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Finding the Fourth Proportional to 3,918.39, 5,881 and 2,272.67

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Solution

The fourth proportional to 3,918.39, 5,881 and 2,272.67 is: 3,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.39 : 5,881 = 2,272.67 : x
  2. Step 2: Convert to fraction form
    3,918.39/5,881 = 2,272.67/x
  3. Step 3: Cross multiply
    3,918.39x = 5,881 × 2,272.67
  4. Step 4: Simplify right side
    3,918.39x = 13,365,572.27
  5. Step 5: Solve for x
    x = 13,365,572.27/3,918.39
  6. Step 6: Final answer
    x = 3,410.99

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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.