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Finding the Fourth Proportional to 3,382.69, 5,072.69 and 1,406.99

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Solution

The fourth proportional to 3,382.69, 5,072.69 and 1,406.99 is: 2,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.69 : 5,072.69 = 1,406.99 : x
  2. Step 2: Convert to fraction form
    3,382.69/5,072.69 = 1,406.99/x
  3. Step 3: Cross multiply
    3,382.69x = 5,072.69 × 1,406.99
  4. Step 4: Simplify right side
    3,382.69x = 7,137,217.07
  5. Step 5: Solve for x
    x = 7,137,217.07/3,382.69
  6. Step 6: Final answer
    x = 2,109.93

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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.