Home / 4,206-6,304.74-2,016.30

Finding the Fourth Proportional to 4,206, 6,304.74 and 2,016.30

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Solution

The fourth proportional to 4,206, 6,304.74 and 2,016.30 is: 3,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 6,304.74 = 2,016.30 : x
  2. Step 2: Convert to fraction form
    4,206/6,304.74 = 2,016.30/x
  3. Step 3: Cross multiply
    4,206x = 6,304.74 × 2,016.30
  4. Step 4: Simplify right side
    4,206x = 12,712,247.26
  5. Step 5: Solve for x
    x = 12,712,247.26/4,206
  6. Step 6: Final answer
    x = 3,022.41

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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.