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Finding the Fourth Proportional to 2,694.63, 3,720.42 and 1,986.56

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Solution

The fourth proportional to 2,694.63, 3,720.42 and 1,986.56 is: 2,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.63 : 3,720.42 = 1,986.56 : x
  2. Step 2: Convert to fraction form
    2,694.63/3,720.42 = 1,986.56/x
  3. Step 3: Cross multiply
    2,694.63x = 3,720.42 × 1,986.56
  4. Step 4: Simplify right side
    2,694.63x = 7,390,818.95
  5. Step 5: Solve for x
    x = 7,390,818.95/2,694.63
  6. Step 6: Final answer
    x = 2,742.80

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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.