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Finding the Fourth Proportional to 3,922.45, 5,880.02 and 1,323.56

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Solution

The fourth proportional to 3,922.45, 5,880.02 and 1,323.56 is: 1,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.45 : 5,880.02 = 1,323.56 : x
  2. Step 2: Convert to fraction form
    3,922.45/5,880.02 = 1,323.56/x
  3. Step 3: Cross multiply
    3,922.45x = 5,880.02 × 1,323.56
  4. Step 4: Simplify right side
    3,922.45x = 7,782,567.35
  5. Step 5: Solve for x
    x = 7,782,567.35/3,922.45
  6. Step 6: Final answer
    x = 1,984.11

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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.