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Finding the Fourth Proportional to 8,086.76, 12,133.10 and 3,407.94

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Solution

The fourth proportional to 8,086.76, 12,133.10 and 3,407.94 is: 5,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.76 : 12,133.10 = 3,407.94 : x
  2. Step 2: Convert to fraction form
    8,086.76/12,133.10 = 3,407.94/x
  3. Step 3: Cross multiply
    8,086.76x = 12,133.10 × 3,407.94
  4. Step 4: Simplify right side
    8,086.76x = 41,348,876.81
  5. Step 5: Solve for x
    x = 41,348,876.81/8,086.76
  6. Step 6: Final answer
    x = 5,113.16

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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.