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Finding the Fourth Proportional to 23,172.44, 31,978.46 and 13,100.28

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Solution

The fourth proportional to 23,172.44, 31,978.46 and 13,100.28 is: 18,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.44 : 31,978.46 = 13,100.28 : x
  2. Step 2: Convert to fraction form
    23,172.44/31,978.46 = 13,100.28/x
  3. Step 3: Cross multiply
    23,172.44x = 31,978.46 × 13,100.28
  4. Step 4: Simplify right side
    23,172.44x = 418,926,779.97
  5. Step 5: Solve for x
    x = 418,926,779.97/23,172.44
  6. Step 6: Final answer
    x = 18,078.66

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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.