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Finding the Fourth Proportional to 7,578.63, 11,369.57 and 3,685.23

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Solution

The fourth proportional to 7,578.63, 11,369.57 and 3,685.23 is: 5,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.63 : 11,369.57 = 3,685.23 : x
  2. Step 2: Convert to fraction form
    7,578.63/11,369.57 = 3,685.23/x
  3. Step 3: Cross multiply
    7,578.63x = 11,369.57 × 3,685.23
  4. Step 4: Simplify right side
    7,578.63x = 41,899,462.02
  5. Step 5: Solve for x
    x = 41,899,462.02/7,578.63
  6. Step 6: Final answer
    x = 5,528.63

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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.