Home / 3,421.83-4,721.69-2,006

Finding the Fourth Proportional to 3,421.83, 4,721.69 and 2,006

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Solution

The fourth proportional to 3,421.83, 4,721.69 and 2,006 is: 2,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.83 : 4,721.69 = 2,006 : x
  2. Step 2: Convert to fraction form
    3,421.83/4,721.69 = 2,006/x
  3. Step 3: Cross multiply
    3,421.83x = 4,721.69 × 2,006
  4. Step 4: Simplify right side
    3,421.83x = 9,471,710.14
  5. Step 5: Solve for x
    x = 9,471,710.14/3,421.83
  6. Step 6: Final answer
    x = 2,768.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.