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Finding the Fourth Proportional to 3,191, 4,403.50 and 1,774.69

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Solution

The fourth proportional to 3,191, 4,403.50 and 1,774.69 is: 2,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191 : 4,403.50 = 1,774.69 : x
  2. Step 2: Convert to fraction form
    3,191/4,403.50 = 1,774.69/x
  3. Step 3: Cross multiply
    3,191x = 4,403.50 × 1,774.69
  4. Step 4: Simplify right side
    3,191x = 7,814,847.42
  5. Step 5: Solve for x
    x = 7,814,847.42/3,191
  6. Step 6: Final answer
    x = 2,449.03

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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.