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Finding the Fourth Proportional to 3,783.92, 5,677.50 and 3,461.54

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Solution

The fourth proportional to 3,783.92, 5,677.50 and 3,461.54 is: 5,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.92 : 5,677.50 = 3,461.54 : x
  2. Step 2: Convert to fraction form
    3,783.92/5,677.50 = 3,461.54/x
  3. Step 3: Cross multiply
    3,783.92x = 5,677.50 × 3,461.54
  4. Step 4: Simplify right side
    3,783.92x = 19,652,893.35
  5. Step 5: Solve for x
    x = 19,652,893.35/3,783.92
  6. Step 6: Final answer
    x = 5,193.79

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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.