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Finding the Fourth Proportional to 5,097.64, 7,647 and 1,811.04

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Solution

The fourth proportional to 5,097.64, 7,647 and 1,811.04 is: 2,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.64 : 7,647 = 1,811.04 : x
  2. Step 2: Convert to fraction form
    5,097.64/7,647 = 1,811.04/x
  3. Step 3: Cross multiply
    5,097.64x = 7,647 × 1,811.04
  4. Step 4: Simplify right side
    5,097.64x = 13,849,022.88
  5. Step 5: Solve for x
    x = 13,849,022.88/5,097.64
  6. Step 6: Final answer
    x = 2,716.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.