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Finding the Fourth Proportional to 22,769, 31,421.22 and 12,833

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Solution

The fourth proportional to 22,769, 31,421.22 and 12,833 is: 17,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769 : 31,421.22 = 12,833 : x
  2. Step 2: Convert to fraction form
    22,769/31,421.22 = 12,833/x
  3. Step 3: Cross multiply
    22,769x = 31,421.22 × 12,833
  4. Step 4: Simplify right side
    22,769x = 403,228,516.26
  5. Step 5: Solve for x
    x = 403,228,516.26/22,769
  6. Step 6: Final answer
    x = 17,709.54

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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.