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Finding the Fourth Proportional to 8,647.45, 11,934.64 and 5,063.50

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Solution

The fourth proportional to 8,647.45, 11,934.64 and 5,063.50 is: 6,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.45 : 11,934.64 = 5,063.50 : x
  2. Step 2: Convert to fraction form
    8,647.45/11,934.64 = 5,063.50/x
  3. Step 3: Cross multiply
    8,647.45x = 11,934.64 × 5,063.50
  4. Step 4: Simplify right side
    8,647.45x = 60,431,049.64
  5. Step 5: Solve for x
    x = 60,431,049.64/8,647.45
  6. Step 6: Final answer
    x = 6,988.31

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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.