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Finding the Fourth Proportional to 5,195.32, 7,788.34 and 1,907.66

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Solution

The fourth proportional to 5,195.32, 7,788.34 and 1,907.66 is: 2,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.32 : 7,788.34 = 1,907.66 : x
  2. Step 2: Convert to fraction form
    5,195.32/7,788.34 = 1,907.66/x
  3. Step 3: Cross multiply
    5,195.32x = 7,788.34 × 1,907.66
  4. Step 4: Simplify right side
    5,195.32x = 14,857,504.68
  5. Step 5: Solve for x
    x = 14,857,504.68/5,195.32
  6. Step 6: Final answer
    x = 2,859.79

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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.