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Finding the Fourth Proportional to 2,091.21, 3,138.29 and 859.74

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Solution

The fourth proportional to 2,091.21, 3,138.29 and 859.74 is: 1,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.21 : 3,138.29 = 859.74 : x
  2. Step 2: Convert to fraction form
    2,091.21/3,138.29 = 859.74/x
  3. Step 3: Cross multiply
    2,091.21x = 3,138.29 × 859.74
  4. Step 4: Simplify right side
    2,091.21x = 2,698,113.44
  5. Step 5: Solve for x
    x = 2,698,113.44/2,091.21
  6. Step 6: Final answer
    x = 1,290.22

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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.