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Finding the Fourth Proportional to 23,481.56, 32,405.64 and 12,872

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Solution

The fourth proportional to 23,481.56, 32,405.64 and 12,872 is: 17,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.56 : 32,405.64 = 12,872 : x
  2. Step 2: Convert to fraction form
    23,481.56/32,405.64 = 12,872/x
  3. Step 3: Cross multiply
    23,481.56x = 32,405.64 × 12,872
  4. Step 4: Simplify right side
    23,481.56x = 417,125,398.08
  5. Step 5: Solve for x
    x = 417,125,398.08/23,481.56
  6. Step 6: Final answer
    x = 17,763.96

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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.