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Finding the Fourth Proportional to 49,400, 74,100.12 and 12,464

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Solution

The fourth proportional to 49,400, 74,100.12 and 12,464 is: 18,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400 : 74,100.12 = 12,464 : x
  2. Step 2: Convert to fraction form
    49,400/74,100.12 = 12,464/x
  3. Step 3: Cross multiply
    49,400x = 74,100.12 × 12,464
  4. Step 4: Simplify right side
    49,400x = 923,583,895.68
  5. Step 5: Solve for x
    x = 923,583,895.68/49,400
  6. Step 6: Final answer
    x = 18,696.03

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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.