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Finding the Fourth Proportional to 6,740, 10,107.04 and 3,406.20

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Solution

The fourth proportional to 6,740, 10,107.04 and 3,406.20 is: 5,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 10,107.04 = 3,406.20 : x
  2. Step 2: Convert to fraction form
    6,740/10,107.04 = 3,406.20/x
  3. Step 3: Cross multiply
    6,740x = 10,107.04 × 3,406.20
  4. Step 4: Simplify right side
    6,740x = 34,426,599.65
  5. Step 5: Solve for x
    x = 34,426,599.65/6,740
  6. Step 6: Final answer
    x = 5,107.80

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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.