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Finding the Fourth Proportional to 3,766.19, 5,643.34 and 3,059.96

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Solution

The fourth proportional to 3,766.19, 5,643.34 and 3,059.96 is: 4,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.19 : 5,643.34 = 3,059.96 : x
  2. Step 2: Convert to fraction form
    3,766.19/5,643.34 = 3,059.96/x
  3. Step 3: Cross multiply
    3,766.19x = 5,643.34 × 3,059.96
  4. Step 4: Simplify right side
    3,766.19x = 17,268,373.80
  5. Step 5: Solve for x
    x = 17,268,373.80/3,766.19
  6. Step 6: Final answer
    x = 4,585.10

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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.