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Finding the Fourth Proportional to 8,114.32, 12,171.56 and 2,567.56

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Solution

The fourth proportional to 8,114.32, 12,171.56 and 2,567.56 is: 3,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.32 : 12,171.56 = 2,567.56 : x
  2. Step 2: Convert to fraction form
    8,114.32/12,171.56 = 2,567.56/x
  3. Step 3: Cross multiply
    8,114.32x = 12,171.56 × 2,567.56
  4. Step 4: Simplify right side
    8,114.32x = 31,251,210.59
  5. Step 5: Solve for x
    x = 31,251,210.59/8,114.32
  6. Step 6: Final answer
    x = 3,851.37

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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.