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Finding the Fourth Proportional to 3,853.92, 5,783.04 and 2,123.04

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Solution

The fourth proportional to 3,853.92, 5,783.04 and 2,123.04 is: 3,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.92 : 5,783.04 = 2,123.04 : x
  2. Step 2: Convert to fraction form
    3,853.92/5,783.04 = 2,123.04/x
  3. Step 3: Cross multiply
    3,853.92x = 5,783.04 × 2,123.04
  4. Step 4: Simplify right side
    3,853.92x = 12,277,625.24
  5. Step 5: Solve for x
    x = 12,277,625.24/3,853.92
  6. Step 6: Final answer
    x = 3,185.75

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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.