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Finding the Fourth Proportional to 5,890.75, 8,123.21 and 3,900.58

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Solution

The fourth proportional to 5,890.75, 8,123.21 and 3,900.58 is: 5,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.75 : 8,123.21 = 3,900.58 : x
  2. Step 2: Convert to fraction form
    5,890.75/8,123.21 = 3,900.58/x
  3. Step 3: Cross multiply
    5,890.75x = 8,123.21 × 3,900.58
  4. Step 4: Simplify right side
    5,890.75x = 31,685,205.68
  5. Step 5: Solve for x
    x = 31,685,205.68/5,890.75
  6. Step 6: Final answer
    x = 5,378.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.