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Finding the Fourth Proportional to 5,716.68, 7,886.52 and 3,619.50

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Solution

The fourth proportional to 5,716.68, 7,886.52 and 3,619.50 is: 4,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.68 : 7,886.52 = 3,619.50 : x
  2. Step 2: Convert to fraction form
    5,716.68/7,886.52 = 3,619.50/x
  3. Step 3: Cross multiply
    5,716.68x = 7,886.52 × 3,619.50
  4. Step 4: Simplify right side
    5,716.68x = 28,545,259.14
  5. Step 5: Solve for x
    x = 28,545,259.14/5,716.68
  6. Step 6: Final answer
    x = 4,993.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.