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Finding the Fourth Proportional to 8,101.74, 12,152.73 and 2,836.56

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Solution

The fourth proportional to 8,101.74, 12,152.73 and 2,836.56 is: 4,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.74 : 12,152.73 = 2,836.56 : x
  2. Step 2: Convert to fraction form
    8,101.74/12,152.73 = 2,836.56/x
  3. Step 3: Cross multiply
    8,101.74x = 12,152.73 × 2,836.56
  4. Step 4: Simplify right side
    8,101.74x = 34,471,947.81
  5. Step 5: Solve for x
    x = 34,471,947.81/8,101.74
  6. Step 6: Final answer
    x = 4,254.88

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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.