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Finding the Fourth Proportional to 41,559, 62,341.76 and 13,857

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Solution

The fourth proportional to 41,559, 62,341.76 and 13,857 is: 20,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,559 : 62,341.76 = 13,857 : x
  2. Step 2: Convert to fraction form
    41,559/62,341.76 = 13,857/x
  3. Step 3: Cross multiply
    41,559x = 62,341.76 × 13,857
  4. Step 4: Simplify right side
    41,559x = 863,869,768.32
  5. Step 5: Solve for x
    x = 863,869,768.32/41,559
  6. Step 6: Final answer
    x = 20,786.59

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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.