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Finding the Fourth Proportional to 34,698, 47,889.72 and 19,794

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Solution

The fourth proportional to 34,698, 47,889.72 and 19,794 is: 27,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698 : 47,889.72 = 19,794 : x
  2. Step 2: Convert to fraction form
    34,698/47,889.72 = 19,794/x
  3. Step 3: Cross multiply
    34,698x = 47,889.72 × 19,794
  4. Step 4: Simplify right side
    34,698x = 947,929,117.68
  5. Step 5: Solve for x
    x = 947,929,117.68/34,698
  6. Step 6: Final answer
    x = 27,319.42

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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.