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Finding the Fourth Proportional to 3,783.87, 5,676.33 and 1,318.33

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Solution

The fourth proportional to 3,783.87, 5,676.33 and 1,318.33 is: 1,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.87 : 5,676.33 = 1,318.33 : x
  2. Step 2: Convert to fraction form
    3,783.87/5,676.33 = 1,318.33/x
  3. Step 3: Cross multiply
    3,783.87x = 5,676.33 × 1,318.33
  4. Step 4: Simplify right side
    3,783.87x = 7,483,276.13
  5. Step 5: Solve for x
    x = 7,483,276.13/3,783.87
  6. Step 6: Final answer
    x = 1,977.68

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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.