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Finding the Fourth Proportional to 6,740.62, 10,114.14 and 3,043.98

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Solution

The fourth proportional to 6,740.62, 10,114.14 and 3,043.98 is: 4,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.62 : 10,114.14 = 3,043.98 : x
  2. Step 2: Convert to fraction form
    6,740.62/10,114.14 = 3,043.98/x
  3. Step 3: Cross multiply
    6,740.62x = 10,114.14 × 3,043.98
  4. Step 4: Simplify right side
    6,740.62x = 30,787,239.88
  5. Step 5: Solve for x
    x = 30,787,239.88/6,740.62
  6. Step 6: Final answer
    x = 4,567.42

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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.