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Finding the Fourth Proportional to 5,847.76, 8,065.32 and 3,855.12

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Solution

The fourth proportional to 5,847.76, 8,065.32 and 3,855.12 is: 5,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.76 : 8,065.32 = 3,855.12 : x
  2. Step 2: Convert to fraction form
    5,847.76/8,065.32 = 3,855.12/x
  3. Step 3: Cross multiply
    5,847.76x = 8,065.32 × 3,855.12
  4. Step 4: Simplify right side
    5,847.76x = 31,092,776.44
  5. Step 5: Solve for x
    x = 31,092,776.44/5,847.76
  6. Step 6: Final answer
    x = 5,317.04

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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.