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Finding the Fourth Proportional to 3,651.44, 5,476 and 1,185.69

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Solution

The fourth proportional to 3,651.44, 5,476 and 1,185.69 is: 1,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.44 : 5,476 = 1,185.69 : x
  2. Step 2: Convert to fraction form
    3,651.44/5,476 = 1,185.69/x
  3. Step 3: Cross multiply
    3,651.44x = 5,476 × 1,185.69
  4. Step 4: Simplify right side
    3,651.44x = 6,492,838.44
  5. Step 5: Solve for x
    x = 6,492,838.44/3,651.44
  6. Step 6: Final answer
    x = 1,778.16

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Why These Related Problems?

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