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Finding the Fourth Proportional to 1,912.45, 2,865.02 and 1,293.12

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Solution

The fourth proportional to 1,912.45, 2,865.02 and 1,293.12 is: 1,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.45 : 2,865.02 = 1,293.12 : x
  2. Step 2: Convert to fraction form
    1,912.45/2,865.02 = 1,293.12/x
  3. Step 3: Cross multiply
    1,912.45x = 2,865.02 × 1,293.12
  4. Step 4: Simplify right side
    1,912.45x = 3,704,814.66
  5. Step 5: Solve for x
    x = 3,704,814.66/1,912.45
  6. Step 6: Final answer
    x = 1,937.21

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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.