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Finding the Fourth Proportional to 8,425.14, 12,628.80 and 4,039.80

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Solution

The fourth proportional to 8,425.14, 12,628.80 and 4,039.80 is: 6,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.14 : 12,628.80 = 4,039.80 : x
  2. Step 2: Convert to fraction form
    8,425.14/12,628.80 = 4,039.80/x
  3. Step 3: Cross multiply
    8,425.14x = 12,628.80 × 4,039.80
  4. Step 4: Simplify right side
    8,425.14x = 51,017,826.24
  5. Step 5: Solve for x
    x = 51,017,826.24/8,425.14
  6. Step 6: Final answer
    x = 6,055.43

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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.