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Finding the Fourth Proportional to 12,811.70, 19,233.15 and 8,131.70

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Solution

The fourth proportional to 12,811.70, 19,233.15 and 8,131.70 is: 12,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.70 : 19,233.15 = 8,131.70 : x
  2. Step 2: Convert to fraction form
    12,811.70/19,233.15 = 8,131.70/x
  3. Step 3: Cross multiply
    12,811.70x = 19,233.15 × 8,131.70
  4. Step 4: Simplify right side
    12,811.70x = 156,398,205.86
  5. Step 5: Solve for x
    x = 156,398,205.86/12,811.70
  6. Step 6: Final answer
    x = 12,207.45

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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.