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Finding the Fourth Proportional to 10,663, 16,000.26 and 5,191

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Solution

The fourth proportional to 10,663, 16,000.26 and 5,191 is: 7,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663 : 16,000.26 = 5,191 : x
  2. Step 2: Convert to fraction form
    10,663/16,000.26 = 5,191/x
  3. Step 3: Cross multiply
    10,663x = 16,000.26 × 5,191
  4. Step 4: Simplify right side
    10,663x = 83,057,349.66
  5. Step 5: Solve for x
    x = 83,057,349.66/10,663
  6. Step 6: Final answer
    x = 7,789.30

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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.