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Finding the Fourth Proportional to 23,481.42, 32,405.11 and 12,871.72

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Solution

The fourth proportional to 23,481.42, 32,405.11 and 12,871.72 is: 17,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.42 : 32,405.11 = 12,871.72 : x
  2. Step 2: Convert to fraction form
    23,481.42/32,405.11 = 12,871.72/x
  3. Step 3: Cross multiply
    23,481.42x = 32,405.11 × 12,871.72
  4. Step 4: Simplify right side
    23,481.42x = 417,109,502.49
  5. Step 5: Solve for x
    x = 417,109,502.49/23,481.42
  6. Step 6: Final answer
    x = 17,763.38

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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.