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Finding the Fourth Proportional to 14,606, 20,157 and 8,318.96

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Solution

The fourth proportional to 14,606, 20,157 and 8,318.96 is: 11,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606 : 20,157 = 8,318.96 : x
  2. Step 2: Convert to fraction form
    14,606/20,157 = 8,318.96/x
  3. Step 3: Cross multiply
    14,606x = 20,157 × 8,318.96
  4. Step 4: Simplify right side
    14,606x = 167,685,276.72
  5. Step 5: Solve for x
    x = 167,685,276.72/14,606
  6. Step 6: Final answer
    x = 11,480.57

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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.