Home / 4,085.56-6,127.24-1,164

Finding the Fourth Proportional to 4,085.56, 6,127.24 and 1,164

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Solution

The fourth proportional to 4,085.56, 6,127.24 and 1,164 is: 1,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.56 : 6,127.24 = 1,164 : x
  2. Step 2: Convert to fraction form
    4,085.56/6,127.24 = 1,164/x
  3. Step 3: Cross multiply
    4,085.56x = 6,127.24 × 1,164
  4. Step 4: Simplify right side
    4,085.56x = 7,132,107.36
  5. Step 5: Solve for x
    x = 7,132,107.36/4,085.56
  6. Step 6: Final answer
    x = 1,745.69

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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.