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Finding the Fourth Proportional to 8,142.74, 12,215.73 and 3,462.72

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Solution

The fourth proportional to 8,142.74, 12,215.73 and 3,462.72 is: 5,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.74 : 12,215.73 = 3,462.72 : x
  2. Step 2: Convert to fraction form
    8,142.74/12,215.73 = 3,462.72/x
  3. Step 3: Cross multiply
    8,142.74x = 12,215.73 × 3,462.72
  4. Step 4: Simplify right side
    8,142.74x = 42,299,619.76
  5. Step 5: Solve for x
    x = 42,299,619.76/8,142.74
  6. Step 6: Final answer
    x = 5,194.77

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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.