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Finding the Fourth Proportional to 27,812, 38,380.56 and 16,636.64

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Solution

The fourth proportional to 27,812, 38,380.56 and 16,636.64 is: 22,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812 : 38,380.56 = 16,636.64 : x
  2. Step 2: Convert to fraction form
    27,812/38,380.56 = 16,636.64/x
  3. Step 3: Cross multiply
    27,812x = 38,380.56 × 16,636.64
  4. Step 4: Simplify right side
    27,812x = 638,523,559.72
  5. Step 5: Solve for x
    x = 638,523,559.72/27,812
  6. Step 6: Final answer
    x = 22,958.56

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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.