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Finding the Fourth Proportional to 2,366.34, 3,550.19 and 2,071.10

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Solution

The fourth proportional to 2,366.34, 3,550.19 and 2,071.10 is: 3,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.34 : 3,550.19 = 2,071.10 : x
  2. Step 2: Convert to fraction form
    2,366.34/3,550.19 = 2,071.10/x
  3. Step 3: Cross multiply
    2,366.34x = 3,550.19 × 2,071.10
  4. Step 4: Simplify right side
    2,366.34x = 7,352,770.40
  5. Step 5: Solve for x
    x = 7,352,770.40/2,366.34
  6. Step 6: Final answer
    x = 3,107.23

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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.