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Finding the Fourth Proportional to 22,933, 31,648.02 and 12,997

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Solution

The fourth proportional to 22,933, 31,648.02 and 12,997 is: 17,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933 : 31,648.02 = 12,997 : x
  2. Step 2: Convert to fraction form
    22,933/31,648.02 = 12,997/x
  3. Step 3: Cross multiply
    22,933x = 31,648.02 × 12,997
  4. Step 4: Simplify right side
    22,933x = 411,329,315.94
  5. Step 5: Solve for x
    x = 411,329,315.94/22,933
  6. Step 6: Final answer
    x = 17,936.13

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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.