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Finding the Fourth Proportional to 4,867.12, 6,716.28 and 3,821.68

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Solution

The fourth proportional to 4,867.12, 6,716.28 and 3,821.68 is: 5,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.12 : 6,716.28 = 3,821.68 : x
  2. Step 2: Convert to fraction form
    4,867.12/6,716.28 = 3,821.68/x
  3. Step 3: Cross multiply
    4,867.12x = 6,716.28 × 3,821.68
  4. Step 4: Simplify right side
    4,867.12x = 25,667,472.95
  5. Step 5: Solve for x
    x = 25,667,472.95/4,867.12
  6. Step 6: Final answer
    x = 5,273.65

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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.