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Finding the Fourth Proportional to 2,240.72, 3,092.21 and 1,296.51

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Solution

The fourth proportional to 2,240.72, 3,092.21 and 1,296.51 is: 1,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.72 : 3,092.21 = 1,296.51 : x
  2. Step 2: Convert to fraction form
    2,240.72/3,092.21 = 1,296.51/x
  3. Step 3: Cross multiply
    2,240.72x = 3,092.21 × 1,296.51
  4. Step 4: Simplify right side
    2,240.72x = 4,009,081.19
  5. Step 5: Solve for x
    x = 4,009,081.19/2,240.72
  6. Step 6: Final answer
    x = 1,789.19

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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.