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Finding the Fourth Proportional to 8,384.56, 12,578.65 and 2,541.61

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Solution

The fourth proportional to 8,384.56, 12,578.65 and 2,541.61 is: 3,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.56 : 12,578.65 = 2,541.61 : x
  2. Step 2: Convert to fraction form
    8,384.56/12,578.65 = 2,541.61/x
  3. Step 3: Cross multiply
    8,384.56x = 12,578.65 × 2,541.61
  4. Step 4: Simplify right side
    8,384.56x = 31,969,953.38
  5. Step 5: Solve for x
    x = 31,969,953.38/8,384.56
  6. Step 6: Final answer
    x = 3,812.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.