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Finding the Fourth Proportional to 7,923.40, 10,905.78 and 7,469.80

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Solution

The fourth proportional to 7,923.40, 10,905.78 and 7,469.80 is: 10,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.40 : 10,905.78 = 7,469.80 : x
  2. Step 2: Convert to fraction form
    7,923.40/10,905.78 = 7,469.80/x
  3. Step 3: Cross multiply
    7,923.40x = 10,905.78 × 7,469.80
  4. Step 4: Simplify right side
    7,923.40x = 81,463,995.44
  5. Step 5: Solve for x
    x = 81,463,995.44/7,923.40
  6. Step 6: Final answer
    x = 10,281.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.