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Finding the Fourth Proportional to 2,605.16, 3,906.45 and 872.57

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Solution

The fourth proportional to 2,605.16, 3,906.45 and 872.57 is: 1,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.16 : 3,906.45 = 872.57 : x
  2. Step 2: Convert to fraction form
    2,605.16/3,906.45 = 872.57/x
  3. Step 3: Cross multiply
    2,605.16x = 3,906.45 × 872.57
  4. Step 4: Simplify right side
    2,605.16x = 3,408,631.54
  5. Step 5: Solve for x
    x = 3,408,631.54/2,605.16
  6. Step 6: Final answer
    x = 1,308.42

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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.