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Finding the Fourth Proportional to 22,983.26, 31,715.24 and 12,911.18

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Solution

The fourth proportional to 22,983.26, 31,715.24 and 12,911.18 is: 17,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.26 : 31,715.24 = 12,911.18 : x
  2. Step 2: Convert to fraction form
    22,983.26/31,715.24 = 12,911.18/x
  3. Step 3: Cross multiply
    22,983.26x = 31,715.24 × 12,911.18
  4. Step 4: Simplify right side
    22,983.26x = 409,481,172.38
  5. Step 5: Solve for x
    x = 409,481,172.38/22,983.26
  6. Step 6: Final answer
    x = 17,816.50

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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.