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Finding the Fourth Proportional to 12,328.91, 18,480.60 and 6,780.35

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Solution

The fourth proportional to 12,328.91, 18,480.60 and 6,780.35 is: 10,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.91 : 18,480.60 = 6,780.35 : x
  2. Step 2: Convert to fraction form
    12,328.91/18,480.60 = 6,780.35/x
  3. Step 3: Cross multiply
    12,328.91x = 18,480.60 × 6,780.35
  4. Step 4: Simplify right side
    12,328.91x = 125,304,843.81
  5. Step 5: Solve for x
    x = 125,304,843.81/12,328.91
  6. Step 6: Final answer
    x = 10,163.50

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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.