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Finding the Fourth Proportional to 2,685, 3,704.43 and 1,505.85

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Solution

The fourth proportional to 2,685, 3,704.43 and 1,505.85 is: 2,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685 : 3,704.43 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    2,685/3,704.43 = 1,505.85/x
  3. Step 3: Cross multiply
    2,685x = 3,704.43 × 1,505.85
  4. Step 4: Simplify right side
    2,685x = 5,578,315.92
  5. Step 5: Solve for x
    x = 5,578,315.92/2,685
  6. Step 6: Final answer
    x = 2,077.59

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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.