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Finding the Fourth Proportional to 3,409.69, 4,706.16 and 1,994.03

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Solution

The fourth proportional to 3,409.69, 4,706.16 and 1,994.03 is: 2,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.69 : 4,706.16 = 1,994.03 : x
  2. Step 2: Convert to fraction form
    3,409.69/4,706.16 = 1,994.03/x
  3. Step 3: Cross multiply
    3,409.69x = 4,706.16 × 1,994.03
  4. Step 4: Simplify right side
    3,409.69x = 9,384,214.25
  5. Step 5: Solve for x
    x = 9,384,214.25/3,409.69
  6. Step 6: Final answer
    x = 2,752.22

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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.