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Finding the Fourth Proportional to 3,892.12, 5,368.46 and 2,319

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Solution

The fourth proportional to 3,892.12, 5,368.46 and 2,319 is: 3,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.12 : 5,368.46 = 2,319 : x
  2. Step 2: Convert to fraction form
    3,892.12/5,368.46 = 2,319/x
  3. Step 3: Cross multiply
    3,892.12x = 5,368.46 × 2,319
  4. Step 4: Simplify right side
    3,892.12x = 12,449,458.74
  5. Step 5: Solve for x
    x = 12,449,458.74/3,892.12
  6. Step 6: Final answer
    x = 3,198.63

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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.