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Finding the Fourth Proportional to 3,861.84, 5,758.85 and 3,826.77

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Solution

The fourth proportional to 3,861.84, 5,758.85 and 3,826.77 is: 5,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 5,758.85 = 3,826.77 : x
  2. Step 2: Convert to fraction form
    3,861.84/5,758.85 = 3,826.77/x
  3. Step 3: Cross multiply
    3,861.84x = 5,758.85 × 3,826.77
  4. Step 4: Simplify right side
    3,861.84x = 22,037,794.41
  5. Step 5: Solve for x
    x = 22,037,794.41/3,861.84
  6. Step 6: Final answer
    x = 5,706.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.