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Finding the Fourth Proportional to 8,285.76, 12,425.68 and 2,738.08

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Solution

The fourth proportional to 8,285.76, 12,425.68 and 2,738.08 is: 4,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.76 : 12,425.68 = 2,738.08 : x
  2. Step 2: Convert to fraction form
    8,285.76/12,425.68 = 2,738.08/x
  3. Step 3: Cross multiply
    8,285.76x = 12,425.68 × 2,738.08
  4. Step 4: Simplify right side
    8,285.76x = 34,022,505.89
  5. Step 5: Solve for x
    x = 34,022,505.89/8,285.76
  6. Step 6: Final answer
    x = 4,106.14

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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.