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Finding the Fourth Proportional to 3,287.40, 4,933.18 and 1,749.48

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Solution

The fourth proportional to 3,287.40, 4,933.18 and 1,749.48 is: 2,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.40 : 4,933.18 = 1,749.48 : x
  2. Step 2: Convert to fraction form
    3,287.40/4,933.18 = 1,749.48/x
  3. Step 3: Cross multiply
    3,287.40x = 4,933.18 × 1,749.48
  4. Step 4: Simplify right side
    3,287.40x = 8,630,499.75
  5. Step 5: Solve for x
    x = 8,630,499.75/3,287.40
  6. Step 6: Final answer
    x = 2,625.33

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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.