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Finding the Fourth Proportional to 5,474.24, 8,212.70 and 1,578.59

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Solution

The fourth proportional to 5,474.24, 8,212.70 and 1,578.59 is: 2,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.24 : 8,212.70 = 1,578.59 : x
  2. Step 2: Convert to fraction form
    5,474.24/8,212.70 = 1,578.59/x
  3. Step 3: Cross multiply
    5,474.24x = 8,212.70 × 1,578.59
  4. Step 4: Simplify right side
    5,474.24x = 12,964,448.98
  5. Step 5: Solve for x
    x = 12,964,448.98/5,474.24
  6. Step 6: Final answer
    x = 2,368.27

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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.