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Finding the Fourth Proportional to 6,328.68, 8,738.16 and 4,091.82

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Solution

The fourth proportional to 6,328.68, 8,738.16 and 4,091.82 is: 5,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.68 : 8,738.16 = 4,091.82 : x
  2. Step 2: Convert to fraction form
    6,328.68/8,738.16 = 4,091.82/x
  3. Step 3: Cross multiply
    6,328.68x = 8,738.16 × 4,091.82
  4. Step 4: Simplify right side
    6,328.68x = 35,754,977.85
  5. Step 5: Solve for x
    x = 35,754,977.85/6,328.68
  6. Step 6: Final answer
    x = 5,649.67

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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.