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Finding the Fourth Proportional to 7,840.82, 11,760.21 and 1,997.07

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Solution

The fourth proportional to 7,840.82, 11,760.21 and 1,997.07 is: 2,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.82 : 11,760.21 = 1,997.07 : x
  2. Step 2: Convert to fraction form
    7,840.82/11,760.21 = 1,997.07/x
  3. Step 3: Cross multiply
    7,840.82x = 11,760.21 × 1,997.07
  4. Step 4: Simplify right side
    7,840.82x = 23,485,962.58
  5. Step 5: Solve for x
    x = 23,485,962.58/7,840.82
  6. Step 6: Final answer
    x = 2,995.35

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.