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Finding the Fourth Proportional to 3,868.44, 5,800.70 and 1,894.22

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Solution

The fourth proportional to 3,868.44, 5,800.70 and 1,894.22 is: 2,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.44 : 5,800.70 = 1,894.22 : x
  2. Step 2: Convert to fraction form
    3,868.44/5,800.70 = 1,894.22/x
  3. Step 3: Cross multiply
    3,868.44x = 5,800.70 × 1,894.22
  4. Step 4: Simplify right side
    3,868.44x = 10,987,801.95
  5. Step 5: Solve for x
    x = 10,987,801.95/3,868.44
  6. Step 6: Final answer
    x = 2,840.37

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1.5x scale

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.