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Finding the Fourth Proportional to 2,699.94, 3,726.05 and 1,521.14

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Solution

The fourth proportional to 2,699.94, 3,726.05 and 1,521.14 is: 2,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.94 : 3,726.05 = 1,521.14 : x
  2. Step 2: Convert to fraction form
    2,699.94/3,726.05 = 1,521.14/x
  3. Step 3: Cross multiply
    2,699.94x = 3,726.05 × 1,521.14
  4. Step 4: Simplify right side
    2,699.94x = 5,667,843.70
  5. Step 5: Solve for x
    x = 5,667,843.70/2,699.94
  6. Step 6: Final answer
    x = 2,099.25

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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.