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Finding the Fourth Proportional to 12,606.28, 18,902.94 and 5,677

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Solution

The fourth proportional to 12,606.28, 18,902.94 and 5,677 is: 8,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.28 : 18,902.94 = 5,677 : x
  2. Step 2: Convert to fraction form
    12,606.28/18,902.94 = 5,677/x
  3. Step 3: Cross multiply
    12,606.28x = 18,902.94 × 5,677
  4. Step 4: Simplify right side
    12,606.28x = 107,311,990.38
  5. Step 5: Solve for x
    x = 107,311,990.38/12,606.28
  6. Step 6: Final answer
    x = 8,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.