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Finding the Fourth Proportional to 8,134.99, 12,169.07 and 6,494.74

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Solution

The fourth proportional to 8,134.99, 12,169.07 and 6,494.74 is: 9,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.99 : 12,169.07 = 6,494.74 : x
  2. Step 2: Convert to fraction form
    8,134.99/12,169.07 = 6,494.74/x
  3. Step 3: Cross multiply
    8,134.99x = 12,169.07 × 6,494.74
  4. Step 4: Simplify right side
    8,134.99x = 79,034,945.69
  5. Step 5: Solve for x
    x = 79,034,945.69/8,134.99
  6. Step 6: Final answer
    x = 9,715.43

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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.