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Finding the Fourth Proportional to 8,478.68, 12,716.42 and 3,546.99

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Solution

The fourth proportional to 8,478.68, 12,716.42 and 3,546.99 is: 5,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.68 : 12,716.42 = 3,546.99 : x
  2. Step 2: Convert to fraction form
    8,478.68/12,716.42 = 3,546.99/x
  3. Step 3: Cross multiply
    8,478.68x = 12,716.42 × 3,546.99
  4. Step 4: Simplify right side
    8,478.68x = 45,104,996.84
  5. Step 5: Solve for x
    x = 45,104,996.84/8,478.68
  6. Step 6: Final answer
    x = 5,319.82

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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.