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Finding the Fourth Proportional to 3,289.64, 4,934.05 and 1,440.41

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Solution

The fourth proportional to 3,289.64, 4,934.05 and 1,440.41 is: 2,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.64 : 4,934.05 = 1,440.41 : x
  2. Step 2: Convert to fraction form
    3,289.64/4,934.05 = 1,440.41/x
  3. Step 3: Cross multiply
    3,289.64x = 4,934.05 × 1,440.41
  4. Step 4: Simplify right side
    3,289.64x = 7,107,026.69
  5. Step 5: Solve for x
    x = 7,107,026.69/3,289.64
  6. Step 6: Final answer
    x = 2,160.43

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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.