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Finding the Fourth Proportional to 1,996.17, 2,994.36 and 609.55

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Solution

The fourth proportional to 1,996.17, 2,994.36 and 609.55 is: 914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.17 : 2,994.36 = 609.55 : x
  2. Step 2: Convert to fraction form
    1,996.17/2,994.36 = 609.55/x
  3. Step 3: Cross multiply
    1,996.17x = 2,994.36 × 609.55
  4. Step 4: Simplify right side
    1,996.17x = 1,825,212.14
  5. Step 5: Solve for x
    x = 1,825,212.14/1,996.17
  6. Step 6: Final answer
    x = 914.36

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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.