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Finding the Fourth Proportional to 2,609.42, 3,914.12 and 1,994.22

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Solution

The fourth proportional to 2,609.42, 3,914.12 and 1,994.22 is: 2,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.42 : 3,914.12 = 1,994.22 : x
  2. Step 2: Convert to fraction form
    2,609.42/3,914.12 = 1,994.22/x
  3. Step 3: Cross multiply
    2,609.42x = 3,914.12 × 1,994.22
  4. Step 4: Simplify right side
    2,609.42x = 7,805,621.37
  5. Step 5: Solve for x
    x = 7,805,621.37/2,609.42
  6. Step 6: Final answer
    x = 2,991.33

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.