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Finding the Fourth Proportional to 6,391.07, 9,581.78 and 4,305.21

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Solution

The fourth proportional to 6,391.07, 9,581.78 and 4,305.21 is: 6,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.07 : 9,581.78 = 4,305.21 : x
  2. Step 2: Convert to fraction form
    6,391.07/9,581.78 = 4,305.21/x
  3. Step 3: Cross multiply
    6,391.07x = 9,581.78 × 4,305.21
  4. Step 4: Simplify right side
    6,391.07x = 41,251,553.55
  5. Step 5: Solve for x
    x = 41,251,553.55/6,391.07
  6. Step 6: Final answer
    x = 6,454.57

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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.