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Finding the Fourth Proportional to 57,636, 86,454 and 13,860

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Solution

The fourth proportional to 57,636, 86,454 and 13,860 is: 20,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,636 : 86,454 = 13,860 : x
  2. Step 2: Convert to fraction form
    57,636/86,454 = 13,860/x
  3. Step 3: Cross multiply
    57,636x = 86,454 × 13,860
  4. Step 4: Simplify right side
    57,636x = 1,198,252,440
  5. Step 5: Solve for x
    x = 1,198,252,440/57,636
  6. Step 6: Final answer
    x = 20,790

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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.