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Finding the Fourth Proportional to 22,755.36, 31,404 and 12,684.48

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Solution

The fourth proportional to 22,755.36, 31,404 and 12,684.48 is: 17,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.36 : 31,404 = 12,684.48 : x
  2. Step 2: Convert to fraction form
    22,755.36/31,404 = 12,684.48/x
  3. Step 3: Cross multiply
    22,755.36x = 31,404 × 12,684.48
  4. Step 4: Simplify right side
    22,755.36x = 398,343,409.92
  5. Step 5: Solve for x
    x = 398,343,409.92/22,755.36
  6. Step 6: Final answer
    x = 17,505.48

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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.