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Finding the Fourth Proportional to 8,312.38, 12,468.62 and 2,072.41

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Solution

The fourth proportional to 8,312.38, 12,468.62 and 2,072.41 is: 3,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.38 : 12,468.62 = 2,072.41 : x
  2. Step 2: Convert to fraction form
    8,312.38/12,468.62 = 2,072.41/x
  3. Step 3: Cross multiply
    8,312.38x = 12,468.62 × 2,072.41
  4. Step 4: Simplify right side
    8,312.38x = 25,840,066.78
  5. Step 5: Solve for x
    x = 25,840,066.78/8,312.38
  6. Step 6: Final answer
    x = 3,108.63

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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.