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Finding the Fourth Proportional to 34,550, 47,679 and 19,646

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Solution

The fourth proportional to 34,550, 47,679 and 19,646 is: 27,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550 : 47,679 = 19,646 : x
  2. Step 2: Convert to fraction form
    34,550/47,679 = 19,646/x
  3. Step 3: Cross multiply
    34,550x = 47,679 × 19,646
  4. Step 4: Simplify right side
    34,550x = 936,701,634
  5. Step 5: Solve for x
    x = 936,701,634/34,550
  6. Step 6: Final answer
    x = 27,111.48

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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.