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Finding the Fourth Proportional to 14,597.56, 20,145.30 and 8,309.80

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Solution

The fourth proportional to 14,597.56, 20,145.30 and 8,309.80 is: 11,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.56 : 20,145.30 = 8,309.80 : x
  2. Step 2: Convert to fraction form
    14,597.56/20,145.30 = 8,309.80/x
  3. Step 3: Cross multiply
    14,597.56x = 20,145.30 × 8,309.80
  4. Step 4: Simplify right side
    14,597.56x = 167,403,413.94
  5. Step 5: Solve for x
    x = 167,403,413.94/14,597.56
  6. Step 6: Final answer
    x = 11,467.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.