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Finding the Fourth Proportional to 3,069.50, 4,235.59 and 1,743.22

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Solution

The fourth proportional to 3,069.50, 4,235.59 and 1,743.22 is: 2,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.50 : 4,235.59 = 1,743.22 : x
  2. Step 2: Convert to fraction form
    3,069.50/4,235.59 = 1,743.22/x
  3. Step 3: Cross multiply
    3,069.50x = 4,235.59 × 1,743.22
  4. Step 4: Simplify right side
    3,069.50x = 7,383,572.67
  5. Step 5: Solve for x
    x = 7,383,572.67/3,069.50
  6. Step 6: Final answer
    x = 2,405.47

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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.