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Finding the Fourth Proportional to 1,703.73, 2,540.26 and 1,661.21

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Solution

The fourth proportional to 1,703.73, 2,540.26 and 1,661.21 is: 2,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.73 : 2,540.26 = 1,661.21 : x
  2. Step 2: Convert to fraction form
    1,703.73/2,540.26 = 1,661.21/x
  3. Step 3: Cross multiply
    1,703.73x = 2,540.26 × 1,661.21
  4. Step 4: Simplify right side
    1,703.73x = 4,219,904.22
  5. Step 5: Solve for x
    x = 4,219,904.22/1,703.73
  6. Step 6: Final answer
    x = 2,476.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.