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Finding the Fourth Proportional to 6,399, 9,600.12 and 1,782

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Solution

The fourth proportional to 6,399, 9,600.12 and 1,782 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 9,600.12 = 1,782 : x
  2. Step 2: Convert to fraction form
    6,399/9,600.12 = 1,782/x
  3. Step 3: Cross multiply
    6,399x = 9,600.12 × 1,782
  4. Step 4: Simplify right side
    6,399x = 17,107,413.84
  5. Step 5: Solve for x
    x = 17,107,413.84/6,399
  6. Step 6: Final answer
    x = 2,673.45

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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.