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Finding the Fourth Proportional to 4,486.64, 6,729.43 and 1,199.99

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Solution

The fourth proportional to 4,486.64, 6,729.43 and 1,199.99 is: 1,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.64 : 6,729.43 = 1,199.99 : x
  2. Step 2: Convert to fraction form
    4,486.64/6,729.43 = 1,199.99/x
  3. Step 3: Cross multiply
    4,486.64x = 6,729.43 × 1,199.99
  4. Step 4: Simplify right side
    4,486.64x = 8,075,231.88
  5. Step 5: Solve for x
    x = 8,075,231.88/4,486.64
  6. Step 6: Final answer
    x = 1,799.84

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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.