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Finding the Fourth Proportional to 12,800.15, 17,660.52 and 8,330.48

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Solution

The fourth proportional to 12,800.15, 17,660.52 and 8,330.48 is: 11,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.15 : 17,660.52 = 8,330.48 : x
  2. Step 2: Convert to fraction form
    12,800.15/17,660.52 = 8,330.48/x
  3. Step 3: Cross multiply
    12,800.15x = 17,660.52 × 8,330.48
  4. Step 4: Simplify right side
    12,800.15x = 147,120,520.35
  5. Step 5: Solve for x
    x = 147,120,520.35/12,800.15
  6. Step 6: Final answer
    x = 11,493.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.