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Finding the Fourth Proportional to 22,576, 31,156.96 and 12,640

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Solution

The fourth proportional to 22,576, 31,156.96 and 12,640 is: 17,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 31,156.96 = 12,640 : x
  2. Step 2: Convert to fraction form
    22,576/31,156.96 = 12,640/x
  3. Step 3: Cross multiply
    22,576x = 31,156.96 × 12,640
  4. Step 4: Simplify right side
    22,576x = 393,823,974.40
  5. Step 5: Solve for x
    x = 393,823,974.40/22,576
  6. Step 6: Final answer
    x = 17,444.36

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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.