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Finding the Fourth Proportional to 12,647.87, 18,978.66 and 5,257.43

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Solution

The fourth proportional to 12,647.87, 18,978.66 and 5,257.43 is: 7,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.87 : 18,978.66 = 5,257.43 : x
  2. Step 2: Convert to fraction form
    12,647.87/18,978.66 = 5,257.43/x
  3. Step 3: Cross multiply
    12,647.87x = 18,978.66 × 5,257.43
  4. Step 4: Simplify right side
    12,647.87x = 99,778,976.44
  5. Step 5: Solve for x
    x = 99,778,976.44/12,647.87
  6. Step 6: Final answer
    x = 7,888.99

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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.