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Finding the Fourth Proportional to 3,233.08, 4,462.38 and 1,907

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Solution

The fourth proportional to 3,233.08, 4,462.38 and 1,907 is: 2,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.08 : 4,462.38 = 1,907 : x
  2. Step 2: Convert to fraction form
    3,233.08/4,462.38 = 1,907/x
  3. Step 3: Cross multiply
    3,233.08x = 4,462.38 × 1,907
  4. Step 4: Simplify right side
    3,233.08x = 8,509,758.66
  5. Step 5: Solve for x
    x = 8,509,758.66/3,233.08
  6. Step 6: Final answer
    x = 2,632.09

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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.