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Finding the Fourth Proportional to 5,645.97, 8,474.16 and 2,874.63

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Solution

The fourth proportional to 5,645.97, 8,474.16 and 2,874.63 is: 4,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.97 : 8,474.16 = 2,874.63 : x
  2. Step 2: Convert to fraction form
    5,645.97/8,474.16 = 2,874.63/x
  3. Step 3: Cross multiply
    5,645.97x = 8,474.16 × 2,874.63
  4. Step 4: Simplify right side
    5,645.97x = 24,360,025.00
  5. Step 5: Solve for x
    x = 24,360,025.00/5,645.97
  6. Step 6: Final answer
    x = 4,314.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.