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Finding the Fourth Proportional to 2,684.77, 3,704.97 and 1,505.85

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Solution

The fourth proportional to 2,684.77, 3,704.97 and 1,505.85 is: 2,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.77 : 3,704.97 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    2,684.77/3,704.97 = 1,505.85/x
  3. Step 3: Cross multiply
    2,684.77x = 3,704.97 × 1,505.85
  4. Step 4: Simplify right side
    2,684.77x = 5,579,129.07
  5. Step 5: Solve for x
    x = 5,579,129.07/2,684.77
  6. Step 6: Final answer
    x = 2,078.07

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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.