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Finding the Fourth Proportional to 6,900.98, 10,344.33 and 3,200.19

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Solution

The fourth proportional to 6,900.98, 10,344.33 and 3,200.19 is: 4,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.98 : 10,344.33 = 3,200.19 : x
  2. Step 2: Convert to fraction form
    6,900.98/10,344.33 = 3,200.19/x
  3. Step 3: Cross multiply
    6,900.98x = 10,344.33 × 3,200.19
  4. Step 4: Simplify right side
    6,900.98x = 33,103,821.42
  5. Step 5: Solve for x
    x = 33,103,821.42/6,900.98
  6. Step 6: Final answer
    x = 4,796.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.