Home / 4,084-6,125.96-1,162.32

Finding the Fourth Proportional to 4,084, 6,125.96 and 1,162.32

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Solution

The fourth proportional to 4,084, 6,125.96 and 1,162.32 is: 1,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 6,125.96 = 1,162.32 : x
  2. Step 2: Convert to fraction form
    4,084/6,125.96 = 1,162.32/x
  3. Step 3: Cross multiply
    4,084x = 6,125.96 × 1,162.32
  4. Step 4: Simplify right side
    4,084x = 7,120,325.83
  5. Step 5: Solve for x
    x = 7,120,325.83/4,084
  6. Step 6: Final answer
    x = 1,743.47

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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.