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Finding the Fourth Proportional to 2,408.31, 3,605.79 and 1,235.79

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Solution

The fourth proportional to 2,408.31, 3,605.79 and 1,235.79 is: 1,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.31 : 3,605.79 = 1,235.79 : x
  2. Step 2: Convert to fraction form
    2,408.31/3,605.79 = 1,235.79/x
  3. Step 3: Cross multiply
    2,408.31x = 3,605.79 × 1,235.79
  4. Step 4: Simplify right side
    2,408.31x = 4,455,999.22
  5. Step 5: Solve for x
    x = 4,455,999.22/2,408.31
  6. Step 6: Final answer
    x = 1,850.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.