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Finding the Fourth Proportional to 2,912.72, 4,370.09 and 965.07

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Solution

The fourth proportional to 2,912.72, 4,370.09 and 965.07 is: 1,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.72 : 4,370.09 = 965.07 : x
  2. Step 2: Convert to fraction form
    2,912.72/4,370.09 = 965.07/x
  3. Step 3: Cross multiply
    2,912.72x = 4,370.09 × 965.07
  4. Step 4: Simplify right side
    2,912.72x = 4,217,437.93
  5. Step 5: Solve for x
    x = 4,217,437.93/2,912.72
  6. Step 6: Final answer
    x = 1,447.94

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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.