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Finding the Fourth Proportional to 2,726.40, 3,761.40 and 1,664.40

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Solution

The fourth proportional to 2,726.40, 3,761.40 and 1,664.40 is: 2,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.40 : 3,761.40 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    2,726.40/3,761.40 = 1,664.40/x
  3. Step 3: Cross multiply
    2,726.40x = 3,761.40 × 1,664.40
  4. Step 4: Simplify right side
    2,726.40x = 6,260,474.16
  5. Step 5: Solve for x
    x = 6,260,474.16/2,726.40
  6. Step 6: Final answer
    x = 2,296.24

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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.