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Finding the Fourth Proportional to 21,165, 31,743.87 and 9,921.48

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Solution

The fourth proportional to 21,165, 31,743.87 and 9,921.48 is: 14,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 31,743.87 = 9,921.48 : x
  2. Step 2: Convert to fraction form
    21,165/31,743.87 = 9,921.48/x
  3. Step 3: Cross multiply
    21,165x = 31,743.87 × 9,921.48
  4. Step 4: Simplify right side
    21,165x = 314,946,171.33
  5. Step 5: Solve for x
    x = 314,946,171.33/21,165
  6. Step 6: Final answer
    x = 14,880.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.