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Finding the Fourth Proportional to 34,326, 47,370.60 and 19,422

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Solution

The fourth proportional to 34,326, 47,370.60 and 19,422 is: 26,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326 : 47,370.60 = 19,422 : x
  2. Step 2: Convert to fraction form
    34,326/47,370.60 = 19,422/x
  3. Step 3: Cross multiply
    34,326x = 47,370.60 × 19,422
  4. Step 4: Simplify right side
    34,326x = 920,031,793.20
  5. Step 5: Solve for x
    x = 920,031,793.20/34,326
  6. Step 6: Final answer
    x = 26,802.77

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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.