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Finding the Fourth Proportional to 5,817.47, 8,028.12 and 3,164.90

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Solution

The fourth proportional to 5,817.47, 8,028.12 and 3,164.90 is: 4,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.47 : 8,028.12 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    5,817.47/8,028.12 = 3,164.90/x
  3. Step 3: Cross multiply
    5,817.47x = 8,028.12 × 3,164.90
  4. Step 4: Simplify right side
    5,817.47x = 25,408,156.85
  5. Step 5: Solve for x
    x = 25,408,156.85/5,817.47
  6. Step 6: Final answer
    x = 4,367.57

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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.