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Finding the Fourth Proportional to 14,912.64, 20,580.06 and 8,538.75

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Solution

The fourth proportional to 14,912.64, 20,580.06 and 8,538.75 is: 11,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.64 : 20,580.06 = 8,538.75 : x
  2. Step 2: Convert to fraction form
    14,912.64/20,580.06 = 8,538.75/x
  3. Step 3: Cross multiply
    14,912.64x = 20,580.06 × 8,538.75
  4. Step 4: Simplify right side
    14,912.64x = 175,727,987.33
  5. Step 5: Solve for x
    x = 175,727,987.33/14,912.64
  6. Step 6: Final answer
    x = 11,783.83

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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.