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Finding the Fourth Proportional to 2,291.54, 3,162.37 and 1,296.82

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Solution

The fourth proportional to 2,291.54, 3,162.37 and 1,296.82 is: 1,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.54 : 3,162.37 = 1,296.82 : x
  2. Step 2: Convert to fraction form
    2,291.54/3,162.37 = 1,296.82/x
  3. Step 3: Cross multiply
    2,291.54x = 3,162.37 × 1,296.82
  4. Step 4: Simplify right side
    2,291.54x = 4,101,014.06
  5. Step 5: Solve for x
    x = 4,101,014.06/2,291.54
  6. Step 6: Final answer
    x = 1,789.63

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