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Finding the Fourth Proportional to 5,379.75, 7,421.97 and 3,966.80

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Solution

The fourth proportional to 5,379.75, 7,421.97 and 3,966.80 is: 5,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.75 : 7,421.97 = 3,966.80 : x
  2. Step 2: Convert to fraction form
    5,379.75/7,421.97 = 3,966.80/x
  3. Step 3: Cross multiply
    5,379.75x = 7,421.97 × 3,966.80
  4. Step 4: Simplify right side
    5,379.75x = 29,441,433.49
  5. Step 5: Solve for x
    x = 29,441,433.49/5,379.75
  6. Step 6: Final answer
    x = 5,472.64

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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.