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Finding the Fourth Proportional to 1,912.56, 2,868.63 and 613.86

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Solution

The fourth proportional to 1,912.56, 2,868.63 and 613.86 is: 920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.56 : 2,868.63 = 613.86 : x
  2. Step 2: Convert to fraction form
    1,912.56/2,868.63 = 613.86/x
  3. Step 3: Cross multiply
    1,912.56x = 2,868.63 × 613.86
  4. Step 4: Simplify right side
    1,912.56x = 1,760,937.21
  5. Step 5: Solve for x
    x = 1,760,937.21/1,912.56
  6. Step 6: Final answer
    x = 920.72

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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.