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Finding the Fourth Proportional to 2,370.78, 3,556.67 and 727.56

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Solution

The fourth proportional to 2,370.78, 3,556.67 and 727.56 is: 1,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.78 : 3,556.67 = 727.56 : x
  2. Step 2: Convert to fraction form
    2,370.78/3,556.67 = 727.56/x
  3. Step 3: Cross multiply
    2,370.78x = 3,556.67 × 727.56
  4. Step 4: Simplify right side
    2,370.78x = 2,587,687.19
  5. Step 5: Solve for x
    x = 2,587,687.19/2,370.78
  6. Step 6: Final answer
    x = 1,091.49

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1.5x scale

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.