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Finding the Fourth Proportional to 7,188.70, 10,782.98 and 1,994.57

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Solution

The fourth proportional to 7,188.70, 10,782.98 and 1,994.57 is: 2,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.70 : 10,782.98 = 1,994.57 : x
  2. Step 2: Convert to fraction form
    7,188.70/10,782.98 = 1,994.57/x
  3. Step 3: Cross multiply
    7,188.70x = 10,782.98 × 1,994.57
  4. Step 4: Simplify right side
    7,188.70x = 21,507,408.42
  5. Step 5: Solve for x
    x = 21,507,408.42/7,188.70
  6. Step 6: Final answer
    x = 2,991.84

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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.