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Finding the Fourth Proportional to 7,798.78, 11,704.79 and 3,122.07

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Solution

The fourth proportional to 7,798.78, 11,704.79 and 3,122.07 is: 4,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.78 : 11,704.79 = 3,122.07 : x
  2. Step 2: Convert to fraction form
    7,798.78/11,704.79 = 3,122.07/x
  3. Step 3: Cross multiply
    7,798.78x = 11,704.79 × 3,122.07
  4. Step 4: Simplify right side
    7,798.78x = 36,543,173.72
  5. Step 5: Solve for x
    x = 36,543,173.72/7,798.78
  6. Step 6: Final answer
    x = 4,685.76

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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.