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Finding the Fourth Proportional to 2,291, 3,162.36 and 1,544.48

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Solution

The fourth proportional to 2,291, 3,162.36 and 1,544.48 is: 2,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291 : 3,162.36 = 1,544.48 : x
  2. Step 2: Convert to fraction form
    2,291/3,162.36 = 1,544.48/x
  3. Step 3: Cross multiply
    2,291x = 3,162.36 × 1,544.48
  4. Step 4: Simplify right side
    2,291x = 4,884,201.77
  5. Step 5: Solve for x
    x = 4,884,201.77/2,291
  6. Step 6: Final answer
    x = 2,131.91

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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.