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Finding the Fourth Proportional to 6,391.80, 9,609.30 and 5,441.40

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Solution

The fourth proportional to 6,391.80, 9,609.30 and 5,441.40 is: 8,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.80 : 9,609.30 = 5,441.40 : x
  2. Step 2: Convert to fraction form
    6,391.80/9,609.30 = 5,441.40/x
  3. Step 3: Cross multiply
    6,391.80x = 9,609.30 × 5,441.40
  4. Step 4: Simplify right side
    6,391.80x = 52,288,045.02
  5. Step 5: Solve for x
    x = 52,288,045.02/6,391.80
  6. Step 6: Final answer
    x = 8,180.49

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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.