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Finding the Fourth Proportional to 3,007.67, 4,511.70 and 816.21

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Solution

The fourth proportional to 3,007.67, 4,511.70 and 816.21 is: 1,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.67 : 4,511.70 = 816.21 : x
  2. Step 2: Convert to fraction form
    3,007.67/4,511.70 = 816.21/x
  3. Step 3: Cross multiply
    3,007.67x = 4,511.70 × 816.21
  4. Step 4: Simplify right side
    3,007.67x = 3,682,494.66
  5. Step 5: Solve for x
    x = 3,682,494.66/3,007.67
  6. Step 6: Final answer
    x = 1,224.37

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1.5x scale

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.