Home / 3,084-4,626.80-1,004.36

Finding the Fourth Proportional to 3,084, 4,626.80 and 1,004.36

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Solution

The fourth proportional to 3,084, 4,626.80 and 1,004.36 is: 1,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,626.80 = 1,004.36 : x
  2. Step 2: Convert to fraction form
    3,084/4,626.80 = 1,004.36/x
  3. Step 3: Cross multiply
    3,084x = 4,626.80 × 1,004.36
  4. Step 4: Simplify right side
    3,084x = 4,646,972.85
  5. Step 5: Solve for x
    x = 4,646,972.85/3,084
  6. Step 6: Final answer
    x = 1,506.80

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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.