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Finding the Fourth Proportional to 14,515, 20,032.32 and 8,926

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Solution

The fourth proportional to 14,515, 20,032.32 and 8,926 is: 12,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515 : 20,032.32 = 8,926 : x
  2. Step 2: Convert to fraction form
    14,515/20,032.32 = 8,926/x
  3. Step 3: Cross multiply
    14,515x = 20,032.32 × 8,926
  4. Step 4: Simplify right side
    14,515x = 178,808,488.32
  5. Step 5: Solve for x
    x = 178,808,488.32/14,515
  6. Step 6: Final answer
    x = 12,318.88

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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.