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Finding the Fourth Proportional to 3,289.63, 4,933.83 and 1,440.40

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Solution

The fourth proportional to 3,289.63, 4,933.83 and 1,440.40 is: 2,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.63 : 4,933.83 = 1,440.40 : x
  2. Step 2: Convert to fraction form
    3,289.63/4,933.83 = 1,440.40/x
  3. Step 3: Cross multiply
    3,289.63x = 4,933.83 × 1,440.40
  4. Step 4: Simplify right side
    3,289.63x = 7,106,676.53
  5. Step 5: Solve for x
    x = 7,106,676.53/3,289.63
  6. Step 6: Final answer
    x = 2,160.33

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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.