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Finding the Fourth Proportional to 8,141.72, 12,212.13 and 2,298.02

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Solution

The fourth proportional to 8,141.72, 12,212.13 and 2,298.02 is: 3,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.72 : 12,212.13 = 2,298.02 : x
  2. Step 2: Convert to fraction form
    8,141.72/12,212.13 = 2,298.02/x
  3. Step 3: Cross multiply
    8,141.72x = 12,212.13 × 2,298.02
  4. Step 4: Simplify right side
    8,141.72x = 28,063,718.98
  5. Step 5: Solve for x
    x = 28,063,718.98/8,141.72
  6. Step 6: Final answer
    x = 3,446.90

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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.