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Finding the Fourth Proportional to 3,865.70, 5,798.74 and 1,092.57

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Solution

The fourth proportional to 3,865.70, 5,798.74 and 1,092.57 is: 1,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.70 : 5,798.74 = 1,092.57 : x
  2. Step 2: Convert to fraction form
    3,865.70/5,798.74 = 1,092.57/x
  3. Step 3: Cross multiply
    3,865.70x = 5,798.74 × 1,092.57
  4. Step 4: Simplify right side
    3,865.70x = 6,335,532.09
  5. Step 5: Solve for x
    x = 6,335,532.09/3,865.70
  6. Step 6: Final answer
    x = 1,638.91

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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.