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Finding the Fourth Proportional to 8,731.67, 13,119.37 and 8,206.79

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Solution

The fourth proportional to 8,731.67, 13,119.37 and 8,206.79 is: 12,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.67 : 13,119.37 = 8,206.79 : x
  2. Step 2: Convert to fraction form
    8,731.67/13,119.37 = 8,206.79/x
  3. Step 3: Cross multiply
    8,731.67x = 13,119.37 × 8,206.79
  4. Step 4: Simplify right side
    8,731.67x = 107,667,828.41
  5. Step 5: Solve for x
    x = 107,667,828.41/8,731.67
  6. Step 6: Final answer
    x = 12,330.73

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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.