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Finding the Fourth Proportional to 22,732, 31,370.64 and 12,796

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Solution

The fourth proportional to 22,732, 31,370.64 and 12,796 is: 17,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732 : 31,370.64 = 12,796 : x
  2. Step 2: Convert to fraction form
    22,732/31,370.64 = 12,796/x
  3. Step 3: Cross multiply
    22,732x = 31,370.64 × 12,796
  4. Step 4: Simplify right side
    22,732x = 401,418,709.44
  5. Step 5: Solve for x
    x = 401,418,709.44/22,732
  6. Step 6: Final answer
    x = 17,658.75

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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.