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Finding the Fourth Proportional to 8,663, 13,000.26 and 3,191

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Solution

The fourth proportional to 8,663, 13,000.26 and 3,191 is: 4,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663 : 13,000.26 = 3,191 : x
  2. Step 2: Convert to fraction form
    8,663/13,000.26 = 3,191/x
  3. Step 3: Cross multiply
    8,663x = 13,000.26 × 3,191
  4. Step 4: Simplify right side
    8,663x = 41,483,829.66
  5. Step 5: Solve for x
    x = 41,483,829.66/8,663
  6. Step 6: Final answer
    x = 4,788.62

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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.