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Finding the Fourth Proportional to 6,900.80, 10,351.20 and 2,284.16

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Solution

The fourth proportional to 6,900.80, 10,351.20 and 2,284.16 is: 3,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.80 : 10,351.20 = 2,284.16 : x
  2. Step 2: Convert to fraction form
    6,900.80/10,351.20 = 2,284.16/x
  3. Step 3: Cross multiply
    6,900.80x = 10,351.20 × 2,284.16
  4. Step 4: Simplify right side
    6,900.80x = 23,643,796.99
  5. Step 5: Solve for x
    x = 23,643,796.99/6,900.80
  6. Step 6: Final answer
    x = 3,426.24

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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.