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Finding the Fourth Proportional to 34,704, 47,898 and 19,800

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Solution

The fourth proportional to 34,704, 47,898 and 19,800 is: 27,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704 : 47,898 = 19,800 : x
  2. Step 2: Convert to fraction form
    34,704/47,898 = 19,800/x
  3. Step 3: Cross multiply
    34,704x = 47,898 × 19,800
  4. Step 4: Simplify right side
    34,704x = 948,380,400
  5. Step 5: Solve for x
    x = 948,380,400/34,704
  6. Step 6: Final answer
    x = 27,327.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.