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Finding the Fourth Proportional to 8,411.58, 12,623.85 and 6,772.14

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Solution

The fourth proportional to 8,411.58, 12,623.85 and 6,772.14 is: 10,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.58 : 12,623.85 = 6,772.14 : x
  2. Step 2: Convert to fraction form
    8,411.58/12,623.85 = 6,772.14/x
  3. Step 3: Cross multiply
    8,411.58x = 12,623.85 × 6,772.14
  4. Step 4: Simplify right side
    8,411.58x = 85,490,479.54
  5. Step 5: Solve for x
    x = 85,490,479.54/8,411.58
  6. Step 6: Final answer
    x = 10,163.43

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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.