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Finding the Fourth Proportional to 3,407.57, 5,111.94 and 1,328.70

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Solution

The fourth proportional to 3,407.57, 5,111.94 and 1,328.70 is: 1,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.57 : 5,111.94 = 1,328.70 : x
  2. Step 2: Convert to fraction form
    3,407.57/5,111.94 = 1,328.70/x
  3. Step 3: Cross multiply
    3,407.57x = 5,111.94 × 1,328.70
  4. Step 4: Simplify right side
    3,407.57x = 6,792,234.68
  5. Step 5: Solve for x
    x = 6,792,234.68/3,407.57
  6. Step 6: Final answer
    x = 1,993.28

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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.