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Finding the Fourth Proportional to 7,840.44, 10,843.83 and 7,709.22

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Solution

The fourth proportional to 7,840.44, 10,843.83 and 7,709.22 is: 10,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.44 : 10,843.83 = 7,709.22 : x
  2. Step 2: Convert to fraction form
    7,840.44/10,843.83 = 7,709.22/x
  3. Step 3: Cross multiply
    7,840.44x = 10,843.83 × 7,709.22
  4. Step 4: Simplify right side
    7,840.44x = 83,597,471.11
  5. Step 5: Solve for x
    x = 83,597,471.11/7,840.44
  6. Step 6: Final answer
    x = 10,662.34

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Half scale
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Double scale
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Similar ratio
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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.