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Finding the Fourth Proportional to 1,994.25, 2,991.35 and 897.84

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Solution

The fourth proportional to 1,994.25, 2,991.35 and 897.84 is: 1,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.25 : 2,991.35 = 897.84 : x
  2. Step 2: Convert to fraction form
    1,994.25/2,991.35 = 897.84/x
  3. Step 3: Cross multiply
    1,994.25x = 2,991.35 × 897.84
  4. Step 4: Simplify right side
    1,994.25x = 2,685,753.68
  5. Step 5: Solve for x
    x = 2,685,753.68/1,994.25
  6. Step 6: Final answer
    x = 1,346.75

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1.5x scale

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.