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Finding the Fourth Proportional to 8,628.42, 12,930.32 and 6,865.49

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Solution

The fourth proportional to 8,628.42, 12,930.32 and 6,865.49 is: 10,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.42 : 12,930.32 = 6,865.49 : x
  2. Step 2: Convert to fraction form
    8,628.42/12,930.32 = 6,865.49/x
  3. Step 3: Cross multiply
    8,628.42x = 12,930.32 × 6,865.49
  4. Step 4: Simplify right side
    8,628.42x = 88,772,883.68
  5. Step 5: Solve for x
    x = 88,772,883.68/8,628.42
  6. Step 6: Final answer
    x = 10,288.43

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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.