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Finding the Fourth Proportional to 50,590, 75,885 and 13,654

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Solution

The fourth proportional to 50,590, 75,885 and 13,654 is: 20,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,590 : 75,885 = 13,654 : x
  2. Step 2: Convert to fraction form
    50,590/75,885 = 13,654/x
  3. Step 3: Cross multiply
    50,590x = 75,885 × 13,654
  4. Step 4: Simplify right side
    50,590x = 1,036,133,790
  5. Step 5: Solve for x
    x = 1,036,133,790/50,590
  6. Step 6: Final answer
    x = 20,481

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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.