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Finding the Fourth Proportional to 2,751.50, 3,797.02 and 1,556.47

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Solution

The fourth proportional to 2,751.50, 3,797.02 and 1,556.47 is: 2,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.50 : 3,797.02 = 1,556.47 : x
  2. Step 2: Convert to fraction form
    2,751.50/3,797.02 = 1,556.47/x
  3. Step 3: Cross multiply
    2,751.50x = 3,797.02 × 1,556.47
  4. Step 4: Simplify right side
    2,751.50x = 5,909,954.41
  5. Step 5: Solve for x
    x = 5,909,954.41/2,751.50
  6. Step 6: Final answer
    x = 2,147.90

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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.