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Finding the Fourth Proportional to 27,068, 37,357.44 and 15,890

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Solution

The fourth proportional to 27,068, 37,357.44 and 15,890 is: 21,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,068 : 37,357.44 = 15,890 : x
  2. Step 2: Convert to fraction form
    27,068/37,357.44 = 15,890/x
  3. Step 3: Cross multiply
    27,068x = 37,357.44 × 15,890
  4. Step 4: Simplify right side
    27,068x = 593,609,721.60
  5. Step 5: Solve for x
    x = 593,609,721.60/27,068
  6. Step 6: Final answer
    x = 21,930.31

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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.