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Finding the Fourth Proportional to 7,736.84, 11,617.10 and 6,820.12

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Solution

The fourth proportional to 7,736.84, 11,617.10 and 6,820.12 is: 10,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.84 : 11,617.10 = 6,820.12 : x
  2. Step 2: Convert to fraction form
    7,736.84/11,617.10 = 6,820.12/x
  3. Step 3: Cross multiply
    7,736.84x = 11,617.10 × 6,820.12
  4. Step 4: Simplify right side
    7,736.84x = 79,229,923.87
  5. Step 5: Solve for x
    x = 79,229,923.87/7,736.84
  6. Step 6: Final answer
    x = 10,240.61

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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.