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Finding the Fourth Proportional to 20,906, 31,307 and 14,636.64

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Solution

The fourth proportional to 20,906, 31,307 and 14,636.64 is: 21,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906 : 31,307 = 14,636.64 : x
  2. Step 2: Convert to fraction form
    20,906/31,307 = 14,636.64/x
  3. Step 3: Cross multiply
    20,906x = 31,307 × 14,636.64
  4. Step 4: Simplify right side
    20,906x = 458,229,288.48
  5. Step 5: Solve for x
    x = 458,229,288.48/20,906
  6. Step 6: Final answer
    x = 21,918.55

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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.