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Finding the Fourth Proportional to 13,142, 18,135.96 and 8,957.56

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Solution

The fourth proportional to 13,142, 18,135.96 and 8,957.56 is: 12,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142 : 18,135.96 = 8,957.56 : x
  2. Step 2: Convert to fraction form
    13,142/18,135.96 = 8,957.56/x
  3. Step 3: Cross multiply
    13,142x = 18,135.96 × 8,957.56
  4. Step 4: Simplify right side
    13,142x = 162,453,949.86
  5. Step 5: Solve for x
    x = 162,453,949.86/13,142
  6. Step 6: Final answer
    x = 12,361.43

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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.