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Finding the Fourth Proportional to 4,662.50, 6,993.78 and 1,199.78

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Solution

The fourth proportional to 4,662.50, 6,993.78 and 1,199.78 is: 1,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.50 : 6,993.78 = 1,199.78 : x
  2. Step 2: Convert to fraction form
    4,662.50/6,993.78 = 1,199.78/x
  3. Step 3: Cross multiply
    4,662.50x = 6,993.78 × 1,199.78
  4. Step 4: Simplify right side
    4,662.50x = 8,390,997.37
  5. Step 5: Solve for x
    x = 8,390,997.37/4,662.50
  6. Step 6: Final answer
    x = 1,799.68

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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.