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Finding the Fourth Proportional to 8,384.65, 12,578.49 and 3,451.55

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Solution

The fourth proportional to 8,384.65, 12,578.49 and 3,451.55 is: 5,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.65 : 12,578.49 = 3,451.55 : x
  2. Step 2: Convert to fraction form
    8,384.65/12,578.49 = 3,451.55/x
  3. Step 3: Cross multiply
    8,384.65x = 12,578.49 × 3,451.55
  4. Step 4: Simplify right side
    8,384.65x = 43,415,224.27
  5. Step 5: Solve for x
    x = 43,415,224.27/8,384.65
  6. Step 6: Final answer
    x = 5,177.94

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1.5x scale

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.