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Finding the Fourth Proportional to 49,914, 74,871 and 12,978

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Solution

The fourth proportional to 49,914, 74,871 and 12,978 is: 19,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 74,871 = 12,978 : x
  2. Step 2: Convert to fraction form
    49,914/74,871 = 12,978/x
  3. Step 3: Cross multiply
    49,914x = 74,871 × 12,978
  4. Step 4: Simplify right side
    49,914x = 971,675,838
  5. Step 5: Solve for x
    x = 971,675,838/49,914
  6. Step 6: Final answer
    x = 19,467

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