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Finding the Fourth Proportional to 3,856.63, 5,788.19 and 3,091.99

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Solution

The fourth proportional to 3,856.63, 5,788.19 and 3,091.99 is: 4,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.63 : 5,788.19 = 3,091.99 : x
  2. Step 2: Convert to fraction form
    3,856.63/5,788.19 = 3,091.99/x
  3. Step 3: Cross multiply
    3,856.63x = 5,788.19 × 3,091.99
  4. Step 4: Simplify right side
    3,856.63x = 17,897,025.60
  5. Step 5: Solve for x
    x = 17,897,025.60/3,856.63
  6. Step 6: Final answer
    x = 4,640.59

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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.