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Finding the Fourth Proportional to 23,112.88, 31,893.96 and 13,043.77

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Solution

The fourth proportional to 23,112.88, 31,893.96 and 13,043.77 is: 17,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.88 : 31,893.96 = 13,043.77 : x
  2. Step 2: Convert to fraction form
    23,112.88/31,893.96 = 13,043.77/x
  3. Step 3: Cross multiply
    23,112.88x = 31,893.96 × 13,043.77
  4. Step 4: Simplify right side
    23,112.88x = 416,017,478.63
  5. Step 5: Solve for x
    x = 416,017,478.63/23,112.88
  6. Step 6: Final answer
    x = 17,999.38

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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.