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Finding the Fourth Proportional to 21,066, 29,071.44 and 11,635.44

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Solution

The fourth proportional to 21,066, 29,071.44 and 11,635.44 is: 16,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 29,071.44 = 11,635.44 : x
  2. Step 2: Convert to fraction form
    21,066/29,071.44 = 11,635.44/x
  3. Step 3: Cross multiply
    21,066x = 29,071.44 × 11,635.44
  4. Step 4: Simplify right side
    21,066x = 338,258,995.83
  5. Step 5: Solve for x
    x = 338,258,995.83/21,066
  6. Step 6: Final answer
    x = 16,057.11

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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.