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Finding the Fourth Proportional to 6,647.12, 9,169.98 and 3,851

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Solution

The fourth proportional to 6,647.12, 9,169.98 and 3,851 is: 5,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.12 : 9,169.98 = 3,851 : x
  2. Step 2: Convert to fraction form
    6,647.12/9,169.98 = 3,851/x
  3. Step 3: Cross multiply
    6,647.12x = 9,169.98 × 3,851
  4. Step 4: Simplify right side
    6,647.12x = 35,313,592.98
  5. Step 5: Solve for x
    x = 35,313,592.98/6,647.12
  6. Step 6: Final answer
    x = 5,312.62

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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.