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Finding the Fourth Proportional to 2,230.62, 3,078.16 and 1,235.87

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Solution

The fourth proportional to 2,230.62, 3,078.16 and 1,235.87 is: 1,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.62 : 3,078.16 = 1,235.87 : x
  2. Step 2: Convert to fraction form
    2,230.62/3,078.16 = 1,235.87/x
  3. Step 3: Cross multiply
    2,230.62x = 3,078.16 × 1,235.87
  4. Step 4: Simplify right side
    2,230.62x = 3,804,198.66
  5. Step 5: Solve for x
    x = 3,804,198.66/2,230.62
  6. Step 6: Final answer
    x = 1,705.45

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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.