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Finding the Fourth Proportional to 3,783.78, 5,669.46 and 3,639.78

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Solution

The fourth proportional to 3,783.78, 5,669.46 and 3,639.78 is: 5,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.78 : 5,669.46 = 3,639.78 : x
  2. Step 2: Convert to fraction form
    3,783.78/5,669.46 = 3,639.78/x
  3. Step 3: Cross multiply
    3,783.78x = 5,669.46 × 3,639.78
  4. Step 4: Simplify right side
    3,783.78x = 20,635,587.12
  5. Step 5: Solve for x
    x = 20,635,587.12/3,783.78
  6. Step 6: Final answer
    x = 5,453.70

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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.