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Finding the Fourth Proportional to 3,814.94, 5,720.97 and 1,761.50

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Solution

The fourth proportional to 3,814.94, 5,720.97 and 1,761.50 is: 2,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.94 : 5,720.97 = 1,761.50 : x
  2. Step 2: Convert to fraction form
    3,814.94/5,720.97 = 1,761.50/x
  3. Step 3: Cross multiply
    3,814.94x = 5,720.97 × 1,761.50
  4. Step 4: Simplify right side
    3,814.94x = 10,077,488.66
  5. Step 5: Solve for x
    x = 10,077,488.66/3,814.94
  6. Step 6: Final answer
    x = 2,641.59

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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.