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Finding the Fourth Proportional to 51,809.62, 77,703 and 18,532

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Solution

The fourth proportional to 51,809.62, 77,703 and 18,532 is: 27,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.62 : 77,703 = 18,532 : x
  2. Step 2: Convert to fraction form
    51,809.62/77,703 = 18,532/x
  3. Step 3: Cross multiply
    51,809.62x = 77,703 × 18,532
  4. Step 4: Simplify right side
    51,809.62x = 1,439,991,996
  5. Step 5: Solve for x
    x = 1,439,991,996/51,809.62
  6. Step 6: Final answer
    x = 27,793.91

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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.