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Finding the Fourth Proportional to 3,390.86, 5,072.24 and 3,183.50

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Solution

The fourth proportional to 3,390.86, 5,072.24 and 3,183.50 is: 4,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.86 : 5,072.24 = 3,183.50 : x
  2. Step 2: Convert to fraction form
    3,390.86/5,072.24 = 3,183.50/x
  3. Step 3: Cross multiply
    3,390.86x = 5,072.24 × 3,183.50
  4. Step 4: Simplify right side
    3,390.86x = 16,147,476.04
  5. Step 5: Solve for x
    x = 16,147,476.04/3,390.86
  6. Step 6: Final answer
    x = 4,762.06

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1.5x scale

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.