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Finding the Fourth Proportional to 3,405.69, 4,698.41 and 1,989.27

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Solution

The fourth proportional to 3,405.69, 4,698.41 and 1,989.27 is: 2,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.69 : 4,698.41 = 1,989.27 : x
  2. Step 2: Convert to fraction form
    3,405.69/4,698.41 = 1,989.27/x
  3. Step 3: Cross multiply
    3,405.69x = 4,698.41 × 1,989.27
  4. Step 4: Simplify right side
    3,405.69x = 9,346,396.11
  5. Step 5: Solve for x
    x = 9,346,396.11/3,405.69
  6. Step 6: Final answer
    x = 2,744.35

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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.