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Finding the Fourth Proportional to 5,894.22, 8,137.40 and 3,907.47

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Solution

The fourth proportional to 5,894.22, 8,137.40 and 3,907.47 is: 5,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.22 : 8,137.40 = 3,907.47 : x
  2. Step 2: Convert to fraction form
    5,894.22/8,137.40 = 3,907.47/x
  3. Step 3: Cross multiply
    5,894.22x = 8,137.40 × 3,907.47
  4. Step 4: Simplify right side
    5,894.22x = 31,796,626.84
  5. Step 5: Solve for x
    x = 31,796,626.84/5,894.22
  6. Step 6: Final answer
    x = 5,394.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.