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Finding the Fourth Proportional to 8,104.32, 11,178 and 6,114.96

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Solution

The fourth proportional to 8,104.32, 11,178 and 6,114.96 is: 8,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.32 : 11,178 = 6,114.96 : x
  2. Step 2: Convert to fraction form
    8,104.32/11,178 = 6,114.96/x
  3. Step 3: Cross multiply
    8,104.32x = 11,178 × 6,114.96
  4. Step 4: Simplify right side
    8,104.32x = 68,353,022.88
  5. Step 5: Solve for x
    x = 68,353,022.88/8,104.32
  6. Step 6: Final answer
    x = 8,434.15

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Double 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.