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Finding the Fourth Proportional to 2,191, 3,282.36 and 1,698.25

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Solution

The fourth proportional to 2,191, 3,282.36 and 1,698.25 is: 2,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,282.36 = 1,698.25 : x
  2. Step 2: Convert to fraction form
    2,191/3,282.36 = 1,698.25/x
  3. Step 3: Cross multiply
    2,191x = 3,282.36 × 1,698.25
  4. Step 4: Simplify right side
    2,191x = 5,574,267.87
  5. Step 5: Solve for x
    x = 5,574,267.87/2,191
  6. Step 6: Final answer
    x = 2,544.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.