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Finding the Fourth Proportional to 12,650.70, 18,991.76 and 8,193.77

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Solution

The fourth proportional to 12,650.70, 18,991.76 and 8,193.77 is: 12,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.70 : 18,991.76 = 8,193.77 : x
  2. Step 2: Convert to fraction form
    12,650.70/18,991.76 = 8,193.77/x
  3. Step 3: Cross multiply
    12,650.70x = 18,991.76 × 8,193.77
  4. Step 4: Simplify right side
    12,650.70x = 155,613,977.41
  5. Step 5: Solve for x
    x = 155,613,977.41/12,650.70
  6. Step 6: Final answer
    x = 12,300.82

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1.5x scale

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.