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Finding the Fourth Proportional to 8,151.63, 12,228.66 and 2,308.09

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Solution

The fourth proportional to 8,151.63, 12,228.66 and 2,308.09 is: 3,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.63 : 12,228.66 = 2,308.09 : x
  2. Step 2: Convert to fraction form
    8,151.63/12,228.66 = 2,308.09/x
  3. Step 3: Cross multiply
    8,151.63x = 12,228.66 × 2,308.09
  4. Step 4: Simplify right side
    8,151.63x = 28,224,817.29
  5. Step 5: Solve for x
    x = 28,224,817.29/8,151.63
  6. Step 6: Final answer
    x = 3,462.48

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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.