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Finding the Fourth Proportional to 2,109.34, 3,162.97 and 793.32

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Solution

The fourth proportional to 2,109.34, 3,162.97 and 793.32 is: 1,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.34 : 3,162.97 = 793.32 : x
  2. Step 2: Convert to fraction form
    2,109.34/3,162.97 = 793.32/x
  3. Step 3: Cross multiply
    2,109.34x = 3,162.97 × 793.32
  4. Step 4: Simplify right side
    2,109.34x = 2,509,247.36
  5. Step 5: Solve for x
    x = 2,509,247.36/2,109.34
  6. Step 6: Final answer
    x = 1,189.59

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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.