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Finding the Fourth Proportional to 6,153.96, 9,231.48 and 1,994.07

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Solution

The fourth proportional to 6,153.96, 9,231.48 and 1,994.07 is: 2,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.96 : 9,231.48 = 1,994.07 : x
  2. Step 2: Convert to fraction form
    6,153.96/9,231.48 = 1,994.07/x
  3. Step 3: Cross multiply
    6,153.96x = 9,231.48 × 1,994.07
  4. Step 4: Simplify right side
    6,153.96x = 18,408,217.32
  5. Step 5: Solve for x
    x = 18,408,217.32/6,153.96
  6. Step 6: Final answer
    x = 2,991.28

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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.