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Finding the Fourth Proportional to 6,738.70, 10,108.05 and 2,121.10

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Solution

The fourth proportional to 6,738.70, 10,108.05 and 2,121.10 is: 3,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.70 : 10,108.05 = 2,121.10 : x
  2. Step 2: Convert to fraction form
    6,738.70/10,108.05 = 2,121.10/x
  3. Step 3: Cross multiply
    6,738.70x = 10,108.05 × 2,121.10
  4. Step 4: Simplify right side
    6,738.70x = 21,440,184.86
  5. Step 5: Solve for x
    x = 21,440,184.86/6,738.70
  6. Step 6: Final answer
    x = 3,181.65

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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.