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Finding the Fourth Proportional to 2,751.40, 3,796.84 and 1,556.43

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Solution

The fourth proportional to 2,751.40, 3,796.84 and 1,556.43 is: 2,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.40 : 3,796.84 = 1,556.43 : x
  2. Step 2: Convert to fraction form
    2,751.40/3,796.84 = 1,556.43/x
  3. Step 3: Cross multiply
    2,751.40x = 3,796.84 × 1,556.43
  4. Step 4: Simplify right side
    2,751.40x = 5,909,515.68
  5. Step 5: Solve for x
    x = 5,909,515.68/2,751.40
  6. Step 6: Final answer
    x = 2,147.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.