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Finding the Fourth Proportional to 6,289.98, 9,435.99 and 1,906.41

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Solution

The fourth proportional to 6,289.98, 9,435.99 and 1,906.41 is: 2,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.98 : 9,435.99 = 1,906.41 : x
  2. Step 2: Convert to fraction form
    6,289.98/9,435.99 = 1,906.41/x
  3. Step 3: Cross multiply
    6,289.98x = 9,435.99 × 1,906.41
  4. Step 4: Simplify right side
    6,289.98x = 17,988,865.70
  5. Step 5: Solve for x
    x = 17,988,865.70/6,289.98
  6. Step 6: Final answer
    x = 2,859.92

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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.