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Finding the Fourth Proportional to 5,647, 7,792.86 and 3,163

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Solution

The fourth proportional to 5,647, 7,792.86 and 3,163 is: 4,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647 : 7,792.86 = 3,163 : x
  2. Step 2: Convert to fraction form
    5,647/7,792.86 = 3,163/x
  3. Step 3: Cross multiply
    5,647x = 7,792.86 × 3,163
  4. Step 4: Simplify right side
    5,647x = 24,648,816.18
  5. Step 5: Solve for x
    x = 24,648,816.18/5,647
  6. Step 6: Final answer
    x = 4,364.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.