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Finding the Fourth Proportional to 5,830.87, 8,046.39 and 3,178.22

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Solution

The fourth proportional to 5,830.87, 8,046.39 and 3,178.22 is: 4,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.87 : 8,046.39 = 3,178.22 : x
  2. Step 2: Convert to fraction form
    5,830.87/8,046.39 = 3,178.22/x
  3. Step 3: Cross multiply
    5,830.87x = 8,046.39 × 3,178.22
  4. Step 4: Simplify right side
    5,830.87x = 25,573,197.63
  5. Step 5: Solve for x
    x = 25,573,197.63/5,830.87
  6. Step 6: Final answer
    x = 4,385.83

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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.