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Finding the Fourth Proportional to 5,820.92, 8,028.76 and 3,830.84

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Solution

The fourth proportional to 5,820.92, 8,028.76 and 3,830.84 is: 5,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.92 : 8,028.76 = 3,830.84 : x
  2. Step 2: Convert to fraction form
    5,820.92/8,028.76 = 3,830.84/x
  3. Step 3: Cross multiply
    5,820.92x = 8,028.76 × 3,830.84
  4. Step 4: Simplify right side
    5,820.92x = 30,756,894.96
  5. Step 5: Solve for x
    x = 30,756,894.96/5,820.92
  6. Step 6: Final answer
    x = 5,283.85

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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.