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Finding the Fourth Proportional to 12,588.20, 18,833.70 and 8,214.20

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Solution

The fourth proportional to 12,588.20, 18,833.70 and 8,214.20 is: 12,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.20 : 18,833.70 = 8,214.20 : x
  2. Step 2: Convert to fraction form
    12,588.20/18,833.70 = 8,214.20/x
  3. Step 3: Cross multiply
    12,588.20x = 18,833.70 × 8,214.20
  4. Step 4: Simplify right side
    12,588.20x = 154,703,778.54
  5. Step 5: Solve for x
    x = 154,703,778.54/12,588.20
  6. Step 6: Final answer
    x = 12,289.59

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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.