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Finding the Fourth Proportional to 2,370.63, 3,556.07 and 727.19

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Solution

The fourth proportional to 2,370.63, 3,556.07 and 727.19 is: 1,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.63 : 3,556.07 = 727.19 : x
  2. Step 2: Convert to fraction form
    2,370.63/3,556.07 = 727.19/x
  3. Step 3: Cross multiply
    2,370.63x = 3,556.07 × 727.19
  4. Step 4: Simplify right side
    2,370.63x = 2,585,917.13
  5. Step 5: Solve for x
    x = 2,585,917.13/2,370.63
  6. Step 6: Final answer
    x = 1,090.81

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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.