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Finding the Fourth Proportional to 8,471.02, 12,706.66 and 3,208.49

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Solution

The fourth proportional to 8,471.02, 12,706.66 and 3,208.49 is: 4,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.02 : 12,706.66 = 3,208.49 : x
  2. Step 2: Convert to fraction form
    8,471.02/12,706.66 = 3,208.49/x
  3. Step 3: Cross multiply
    8,471.02x = 12,706.66 × 3,208.49
  4. Step 4: Simplify right side
    8,471.02x = 40,769,219.83
  5. Step 5: Solve for x
    x = 40,769,219.83/8,471.02
  6. Step 6: Final answer
    x = 4,812.79

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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.