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Finding the Fourth Proportional to 3,845.64, 5,766.84 and 1,380

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Solution

The fourth proportional to 3,845.64, 5,766.84 and 1,380 is: 2,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.64 : 5,766.84 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,845.64/5,766.84 = 1,380/x
  3. Step 3: Cross multiply
    3,845.64x = 5,766.84 × 1,380
  4. Step 4: Simplify right side
    3,845.64x = 7,958,239.20
  5. Step 5: Solve for x
    x = 7,958,239.20/3,845.64
  6. Step 6: Final answer
    x = 2,069.42

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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.