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Finding the Fourth Proportional to 1,940.21, 2,910.53 and 708.20

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Solution

The fourth proportional to 1,940.21, 2,910.53 and 708.20 is: 1,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.21 : 2,910.53 = 708.20 : x
  2. Step 2: Convert to fraction form
    1,940.21/2,910.53 = 708.20/x
  3. Step 3: Cross multiply
    1,940.21x = 2,910.53 × 708.20
  4. Step 4: Simplify right side
    1,940.21x = 2,061,224.56
  5. Step 5: Solve for x
    x = 2,061,224.56/1,940.21
  6. Step 6: Final answer
    x = 1,062.37

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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.