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Finding the Fourth Proportional to 5,761.71, 8,640.77 and 1,865.31

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Solution

The fourth proportional to 5,761.71, 8,640.77 and 1,865.31 is: 2,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.71 : 8,640.77 = 1,865.31 : x
  2. Step 2: Convert to fraction form
    5,761.71/8,640.77 = 1,865.31/x
  3. Step 3: Cross multiply
    5,761.71x = 8,640.77 × 1,865.31
  4. Step 4: Simplify right side
    5,761.71x = 16,117,705.36
  5. Step 5: Solve for x
    x = 16,117,705.36/5,761.71
  6. Step 6: Final answer
    x = 2,797.38

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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.