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Finding the Fourth Proportional to 9,270.62, 13,906 and 3,114.62

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Solution

The fourth proportional to 9,270.62, 13,906 and 3,114.62 is: 4,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.62 : 13,906 = 3,114.62 : x
  2. Step 2: Convert to fraction form
    9,270.62/13,906 = 3,114.62/x
  3. Step 3: Cross multiply
    9,270.62x = 13,906 × 3,114.62
  4. Step 4: Simplify right side
    9,270.62x = 43,311,905.72
  5. Step 5: Solve for x
    x = 43,311,905.72/9,270.62
  6. Step 6: Final answer
    x = 4,671.95

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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.