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Finding the Fourth Proportional to 10,798, 16,197 and 3,872.50

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Solution

The fourth proportional to 10,798, 16,197 and 3,872.50 is: 5,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798 : 16,197 = 3,872.50 : x
  2. Step 2: Convert to fraction form
    10,798/16,197 = 3,872.50/x
  3. Step 3: Cross multiply
    10,798x = 16,197 × 3,872.50
  4. Step 4: Simplify right side
    10,798x = 62,722,882.50
  5. Step 5: Solve for x
    x = 62,722,882.50/10,798
  6. Step 6: Final answer
    x = 5,808.75

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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.