Home / 4,108-6,164.52-1,511.14

Finding the Fourth Proportional to 4,108, 6,164.52 and 1,511.14

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Solution

The fourth proportional to 4,108, 6,164.52 and 1,511.14 is: 2,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108 : 6,164.52 = 1,511.14 : x
  2. Step 2: Convert to fraction form
    4,108/6,164.52 = 1,511.14/x
  3. Step 3: Cross multiply
    4,108x = 6,164.52 × 1,511.14
  4. Step 4: Simplify right side
    4,108x = 9,315,452.75
  5. Step 5: Solve for x
    x = 9,315,452.75/4,108
  6. Step 6: Final answer
    x = 2,267.64

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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.