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Finding the Fourth Proportional to 6,647.80, 9,968.10 and 2,747.80

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Solution

The fourth proportional to 6,647.80, 9,968.10 and 2,747.80 is: 4,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.80 : 9,968.10 = 2,747.80 : x
  2. Step 2: Convert to fraction form
    6,647.80/9,968.10 = 2,747.80/x
  3. Step 3: Cross multiply
    6,647.80x = 9,968.10 × 2,747.80
  4. Step 4: Simplify right side
    6,647.80x = 27,390,345.18
  5. Step 5: Solve for x
    x = 27,390,345.18/6,647.80
  6. Step 6: Final answer
    x = 4,120.21

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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.