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Finding the Fourth Proportional to 11,798, 16,283.40 and 6,830

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Solution

The fourth proportional to 11,798, 16,283.40 and 6,830 is: 9,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798 : 16,283.40 = 6,830 : x
  2. Step 2: Convert to fraction form
    11,798/16,283.40 = 6,830/x
  3. Step 3: Cross multiply
    11,798x = 16,283.40 × 6,830
  4. Step 4: Simplify right side
    11,798x = 111,215,622
  5. Step 5: Solve for x
    x = 111,215,622/11,798
  6. Step 6: Final answer
    x = 9,426.65

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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.