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Finding the Fourth Proportional to 57,646, 86,469 and 13,870

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Solution

The fourth proportional to 57,646, 86,469 and 13,870 is: 20,805

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646 : 86,469 = 13,870 : x
  2. Step 2: Convert to fraction form
    57,646/86,469 = 13,870/x
  3. Step 3: Cross multiply
    57,646x = 86,469 × 13,870
  4. Step 4: Simplify right side
    57,646x = 1,199,325,030
  5. Step 5: Solve for x
    x = 1,199,325,030/57,646
  6. Step 6: Final answer
    x = 20,805

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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.