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Finding the Fourth Proportional to 7,131.72, 9,820.26 and 6,383.28

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Solution

The fourth proportional to 7,131.72, 9,820.26 and 6,383.28 is: 8,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.72 : 9,820.26 = 6,383.28 : x
  2. Step 2: Convert to fraction form
    7,131.72/9,820.26 = 6,383.28/x
  3. Step 3: Cross multiply
    7,131.72x = 9,820.26 × 6,383.28
  4. Step 4: Simplify right side
    7,131.72x = 62,685,469.25
  5. Step 5: Solve for x
    x = 62,685,469.25/7,131.72
  6. Step 6: Final answer
    x = 8,789.67

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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.