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Finding the Fourth Proportional to 6,738.18, 10,161.18 and 6,645.84

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Solution

The fourth proportional to 6,738.18, 10,161.18 and 6,645.84 is: 10,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.18 : 10,161.18 = 6,645.84 : x
  2. Step 2: Convert to fraction form
    6,738.18/10,161.18 = 6,645.84/x
  3. Step 3: Cross multiply
    6,738.18x = 10,161.18 × 6,645.84
  4. Step 4: Simplify right side
    6,738.18x = 67,529,576.49
  5. Step 5: Solve for x
    x = 67,529,576.49/6,738.18
  6. Step 6: Final answer
    x = 10,021.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.