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Finding the Fourth Proportional to 19,798, 27,321.32 and 10,966

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Solution

The fourth proportional to 19,798, 27,321.32 and 10,966 is: 15,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798 : 27,321.32 = 10,966 : x
  2. Step 2: Convert to fraction form
    19,798/27,321.32 = 10,966/x
  3. Step 3: Cross multiply
    19,798x = 27,321.32 × 10,966
  4. Step 4: Simplify right side
    19,798x = 299,605,595.12
  5. Step 5: Solve for x
    x = 299,605,595.12/19,798
  6. Step 6: Final answer
    x = 15,133.12

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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.