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Finding the Fourth Proportional to 8,294.72, 12,443.42 and 2,451.92

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Solution

The fourth proportional to 8,294.72, 12,443.42 and 2,451.92 is: 3,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.72 : 12,443.42 = 2,451.92 : x
  2. Step 2: Convert to fraction form
    8,294.72/12,443.42 = 2,451.92/x
  3. Step 3: Cross multiply
    8,294.72x = 12,443.42 × 2,451.92
  4. Step 4: Simplify right side
    8,294.72x = 30,510,214.28
  5. Step 5: Solve for x
    x = 30,510,214.28/8,294.72
  6. Step 6: Final answer
    x = 3,678.27

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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.