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Finding the Fourth Proportional to 8,102.43, 12,148.25 and 2,907.63

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Solution

The fourth proportional to 8,102.43, 12,148.25 and 2,907.63 is: 4,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.43 : 12,148.25 = 2,907.63 : x
  2. Step 2: Convert to fraction form
    8,102.43/12,148.25 = 2,907.63/x
  3. Step 3: Cross multiply
    8,102.43x = 12,148.25 × 2,907.63
  4. Step 4: Simplify right side
    8,102.43x = 35,322,601.61
  5. Step 5: Solve for x
    x = 35,322,601.61/8,102.43
  6. Step 6: Final answer
    x = 4,359.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.