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Finding the Fourth Proportional to 3,865.96, 5,800.56 and 2,778.94

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Solution

The fourth proportional to 3,865.96, 5,800.56 and 2,778.94 is: 4,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.96 : 5,800.56 = 2,778.94 : x
  2. Step 2: Convert to fraction form
    3,865.96/5,800.56 = 2,778.94/x
  3. Step 3: Cross multiply
    3,865.96x = 5,800.56 × 2,778.94
  4. Step 4: Simplify right side
    3,865.96x = 16,119,408.21
  5. Step 5: Solve for x
    x = 16,119,408.21/3,865.96
  6. Step 6: Final answer
    x = 4,169.57

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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.