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Finding the Fourth Proportional to 12,351.92, 18,529.80 and 4,142

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Solution

The fourth proportional to 12,351.92, 18,529.80 and 4,142 is: 6,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.92 : 18,529.80 = 4,142 : x
  2. Step 2: Convert to fraction form
    12,351.92/18,529.80 = 4,142/x
  3. Step 3: Cross multiply
    12,351.92x = 18,529.80 × 4,142
  4. Step 4: Simplify right side
    12,351.92x = 76,750,431.60
  5. Step 5: Solve for x
    x = 76,750,431.60/12,351.92
  6. Step 6: Final answer
    x = 6,213.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.