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Finding the Fourth Proportional to 7,914.80, 11,843.40 and 7,223.60

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Solution

The fourth proportional to 7,914.80, 11,843.40 and 7,223.60 is: 10,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.80 : 11,843.40 = 7,223.60 : x
  2. Step 2: Convert to fraction form
    7,914.80/11,843.40 = 7,223.60/x
  3. Step 3: Cross multiply
    7,914.80x = 11,843.40 × 7,223.60
  4. Step 4: Simplify right side
    7,914.80x = 85,551,984.24
  5. Step 5: Solve for x
    x = 85,551,984.24/7,914.80
  6. Step 6: Final answer
    x = 10,809.12

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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.