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Finding the Fourth Proportional to 7,846.70, 11,812.80 and 6,775.34

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Solution

The fourth proportional to 7,846.70, 11,812.80 and 6,775.34 is: 10,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.70 : 11,812.80 = 6,775.34 : x
  2. Step 2: Convert to fraction form
    7,846.70/11,812.80 = 6,775.34/x
  3. Step 3: Cross multiply
    7,846.70x = 11,812.80 × 6,775.34
  4. Step 4: Simplify right side
    7,846.70x = 80,035,736.35
  5. Step 5: Solve for x
    x = 80,035,736.35/7,846.70
  6. Step 6: Final answer
    x = 10,199.92

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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.