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Finding the Fourth Proportional to 2,370.87, 3,556.99 and 727.65

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Solution

The fourth proportional to 2,370.87, 3,556.99 and 727.65 is: 1,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.87 : 3,556.99 = 727.65 : x
  2. Step 2: Convert to fraction form
    2,370.87/3,556.99 = 727.65/x
  3. Step 3: Cross multiply
    2,370.87x = 3,556.99 × 727.65
  4. Step 4: Simplify right side
    2,370.87x = 2,588,250.85
  5. Step 5: Solve for x
    x = 2,588,250.85/2,370.87
  6. Step 6: Final answer
    x = 1,091.69

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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.