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Finding the Fourth Proportional to 57,756, 86,634 and 13,980

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Solution

The fourth proportional to 57,756, 86,634 and 13,980 is: 20,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,756 : 86,634 = 13,980 : x
  2. Step 2: Convert to fraction form
    57,756/86,634 = 13,980/x
  3. Step 3: Cross multiply
    57,756x = 86,634 × 13,980
  4. Step 4: Simplify right side
    57,756x = 1,211,143,320
  5. Step 5: Solve for x
    x = 1,211,143,320/57,756
  6. Step 6: Final answer
    x = 20,970

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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.