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Finding the Fourth Proportional to 4,652, 6,978 and 1,916

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Solution

The fourth proportional to 4,652, 6,978 and 1,916 is: 2,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 6,978 = 1,916 : x
  2. Step 2: Convert to fraction form
    4,652/6,978 = 1,916/x
  3. Step 3: Cross multiply
    4,652x = 6,978 × 1,916
  4. Step 4: Simplify right side
    4,652x = 13,369,848
  5. Step 5: Solve for x
    x = 13,369,848/4,652
  6. Step 6: Final answer
    x = 2,874

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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.