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Finding the Fourth Proportional to 3,855.96, 5,783.88 and 1,223.70

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Solution

The fourth proportional to 3,855.96, 5,783.88 and 1,223.70 is: 1,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.96 : 5,783.88 = 1,223.70 : x
  2. Step 2: Convert to fraction form
    3,855.96/5,783.88 = 1,223.70/x
  3. Step 3: Cross multiply
    3,855.96x = 5,783.88 × 1,223.70
  4. Step 4: Simplify right side
    3,855.96x = 7,077,733.96
  5. Step 5: Solve for x
    x = 7,077,733.96/3,855.96
  6. Step 6: Final answer
    x = 1,835.53

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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.