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Finding the Fourth Proportional to 7,942.36, 11,843.55 and 7,388.28

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Solution

The fourth proportional to 7,942.36, 11,843.55 and 7,388.28 is: 11,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.36 : 11,843.55 = 7,388.28 : x
  2. Step 2: Convert to fraction form
    7,942.36/11,843.55 = 7,388.28/x
  3. Step 3: Cross multiply
    7,942.36x = 11,843.55 × 7,388.28
  4. Step 4: Simplify right side
    7,942.36x = 87,503,463.59
  5. Step 5: Solve for x
    x = 87,503,463.59/7,942.36
  6. Step 6: Final answer
    x = 11,017.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.