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Finding the Fourth Proportional to 3,409.87, 4,706.35 and 1,918.26

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Solution

The fourth proportional to 3,409.87, 4,706.35 and 1,918.26 is: 2,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.87 : 4,706.35 = 1,918.26 : x
  2. Step 2: Convert to fraction form
    3,409.87/4,706.35 = 1,918.26/x
  3. Step 3: Cross multiply
    3,409.87x = 4,706.35 × 1,918.26
  4. Step 4: Simplify right side
    3,409.87x = 9,027,995.71
  5. Step 5: Solve for x
    x = 9,027,995.71/3,409.87
  6. Step 6: Final answer
    x = 2,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.