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Finding the Fourth Proportional to 57,876, 86,814 and 14,100

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Solution

The fourth proportional to 57,876, 86,814 and 14,100 is: 21,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876 : 86,814 = 14,100 : x
  2. Step 2: Convert to fraction form
    57,876/86,814 = 14,100/x
  3. Step 3: Cross multiply
    57,876x = 86,814 × 14,100
  4. Step 4: Simplify right side
    57,876x = 1,224,077,400
  5. Step 5: Solve for x
    x = 1,224,077,400/57,876
  6. Step 6: Final answer
    x = 21,150

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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.