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Finding the Fourth Proportional to 1,994.42, 2,989.83 and 840.26

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Solution

The fourth proportional to 1,994.42, 2,989.83 and 840.26 is: 1,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.42 : 2,989.83 = 840.26 : x
  2. Step 2: Convert to fraction form
    1,994.42/2,989.83 = 840.26/x
  3. Step 3: Cross multiply
    1,994.42x = 2,989.83 × 840.26
  4. Step 4: Simplify right side
    1,994.42x = 2,512,234.56
  5. Step 5: Solve for x
    x = 2,512,234.56/1,994.42
  6. Step 6: Final answer
    x = 1,259.63

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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.