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Finding the Fourth Proportional to 3,223.86, 4,809.11 and 3,181.62

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Solution

The fourth proportional to 3,223.86, 4,809.11 and 3,181.62 is: 4,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.86 : 4,809.11 = 3,181.62 : x
  2. Step 2: Convert to fraction form
    3,223.86/4,809.11 = 3,181.62/x
  3. Step 3: Cross multiply
    3,223.86x = 4,809.11 × 3,181.62
  4. Step 4: Simplify right side
    3,223.86x = 15,300,744.65
  5. Step 5: Solve for x
    x = 15,300,744.65/3,223.86
  6. Step 6: Final answer
    x = 4,746.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.