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Finding the Fourth Proportional to 2,091.30, 3,137.34 and 793.68

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Solution

The fourth proportional to 2,091.30, 3,137.34 and 793.68 is: 1,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.30 : 3,137.34 = 793.68 : x
  2. Step 2: Convert to fraction form
    2,091.30/3,137.34 = 793.68/x
  3. Step 3: Cross multiply
    2,091.30x = 3,137.34 × 793.68
  4. Step 4: Simplify right side
    2,091.30x = 2,490,044.01
  5. Step 5: Solve for x
    x = 2,490,044.01/2,091.30
  6. Step 6: Final answer
    x = 1,190.67

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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.