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Finding the Fourth Proportional to 8,174.88, 11,287.12 and 6,384.38

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Solution

The fourth proportional to 8,174.88, 11,287.12 and 6,384.38 is: 8,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.88 : 11,287.12 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    8,174.88/11,287.12 = 6,384.38/x
  3. Step 3: Cross multiply
    8,174.88x = 11,287.12 × 6,384.38
  4. Step 4: Simplify right side
    8,174.88x = 72,061,206.75
  5. Step 5: Solve for x
    x = 72,061,206.75/8,174.88
  6. Step 6: Final answer
    x = 8,814.96

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Half scale
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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.