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Finding the Fourth Proportional to 8,384.87, 12,578.42 and 2,760.68

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Solution

The fourth proportional to 8,384.87, 12,578.42 and 2,760.68 is: 4,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.87 : 12,578.42 = 2,760.68 : x
  2. Step 2: Convert to fraction form
    8,384.87/12,578.42 = 2,760.68/x
  3. Step 3: Cross multiply
    8,384.87x = 12,578.42 × 2,760.68
  4. Step 4: Simplify right side
    8,384.87x = 34,725,030.87
  5. Step 5: Solve for x
    x = 34,725,030.87/8,384.87
  6. Step 6: Final answer
    x = 4,141.39

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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.