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Finding the Fourth Proportional to 34,705, 47,899.38 and 19,801

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Solution

The fourth proportional to 34,705, 47,899.38 and 19,801 is: 27,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705 : 47,899.38 = 19,801 : x
  2. Step 2: Convert to fraction form
    34,705/47,899.38 = 19,801/x
  3. Step 3: Cross multiply
    34,705x = 47,899.38 × 19,801
  4. Step 4: Simplify right side
    34,705x = 948,455,623.38
  5. Step 5: Solve for x
    x = 948,455,623.38/34,705
  6. Step 6: Final answer
    x = 27,329.08

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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.