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Finding the Fourth Proportional to 12,438.70, 18,660.07 and 3,674.50

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Solution

The fourth proportional to 12,438.70, 18,660.07 and 3,674.50 is: 5,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.70 : 18,660.07 = 3,674.50 : x
  2. Step 2: Convert to fraction form
    12,438.70/18,660.07 = 3,674.50/x
  3. Step 3: Cross multiply
    12,438.70x = 18,660.07 × 3,674.50
  4. Step 4: Simplify right side
    12,438.70x = 68,566,385.16
  5. Step 5: Solve for x
    x = 68,566,385.16/12,438.70
  6. Step 6: Final answer
    x = 5,512.34

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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.