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Finding the Fourth Proportional to 2,131, 2,940.90 and 1,199.56

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Solution

The fourth proportional to 2,131, 2,940.90 and 1,199.56 is: 1,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131 : 2,940.90 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    2,131/2,940.90 = 1,199.56/x
  3. Step 3: Cross multiply
    2,131x = 2,940.90 × 1,199.56
  4. Step 4: Simplify right side
    2,131x = 3,527,786.00
  5. Step 5: Solve for x
    x = 3,527,786.00/2,131
  6. Step 6: Final answer
    x = 1,655.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.