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Finding the Fourth Proportional to 2,611.38, 3,917.16 and 856.43

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Solution

The fourth proportional to 2,611.38, 3,917.16 and 856.43 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.38 : 3,917.16 = 856.43 : x
  2. Step 2: Convert to fraction form
    2,611.38/3,917.16 = 856.43/x
  3. Step 3: Cross multiply
    2,611.38x = 3,917.16 × 856.43
  4. Step 4: Simplify right side
    2,611.38x = 3,354,756.96
  5. Step 5: Solve for x
    x = 3,354,756.96/2,611.38
  6. Step 6: Final answer
    x = 1,284.67

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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.