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Finding the Fourth Proportional to 12,353.50, 18,483.77 and 8,662.94

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Solution

The fourth proportional to 12,353.50, 18,483.77 and 8,662.94 is: 12,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.50 : 18,483.77 = 8,662.94 : x
  2. Step 2: Convert to fraction form
    12,353.50/18,483.77 = 8,662.94/x
  3. Step 3: Cross multiply
    12,353.50x = 18,483.77 × 8,662.94
  4. Step 4: Simplify right side
    12,353.50x = 160,123,790.48
  5. Step 5: Solve for x
    x = 160,123,790.48/12,353.50
  6. Step 6: Final answer
    x = 12,961.82

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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.