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Finding the Fourth Proportional to 34,713, 47,910.42 and 19,809

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Solution

The fourth proportional to 34,713, 47,910.42 and 19,809 is: 27,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713 : 47,910.42 = 19,809 : x
  2. Step 2: Convert to fraction form
    34,713/47,910.42 = 19,809/x
  3. Step 3: Cross multiply
    34,713x = 47,910.42 × 19,809
  4. Step 4: Simplify right side
    34,713x = 949,057,509.78
  5. Step 5: Solve for x
    x = 949,057,509.78/34,713
  6. Step 6: Final answer
    x = 27,340.12

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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.