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Finding the Fourth Proportional to 22,935, 31,650.78 and 12,999

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Solution

The fourth proportional to 22,935, 31,650.78 and 12,999 is: 17,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935 : 31,650.78 = 12,999 : x
  2. Step 2: Convert to fraction form
    22,935/31,650.78 = 12,999/x
  3. Step 3: Cross multiply
    22,935x = 31,650.78 × 12,999
  4. Step 4: Simplify right side
    22,935x = 411,428,489.22
  5. Step 5: Solve for x
    x = 411,428,489.22/22,935
  6. Step 6: Final answer
    x = 17,938.89

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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.