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Finding the Fourth Proportional to 2,396.60, 3,589.05 and 1,978.34

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Solution

The fourth proportional to 2,396.60, 3,589.05 and 1,978.34 is: 2,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.60 : 3,589.05 = 1,978.34 : x
  2. Step 2: Convert to fraction form
    2,396.60/3,589.05 = 1,978.34/x
  3. Step 3: Cross multiply
    2,396.60x = 3,589.05 × 1,978.34
  4. Step 4: Simplify right side
    2,396.60x = 7,100,361.18
  5. Step 5: Solve for x
    x = 7,100,361.18/2,396.60
  6. Step 6: Final answer
    x = 2,962.68

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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.