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Finding the Fourth Proportional to 8,414.80, 12,611.05 and 6,457.43

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Solution

The fourth proportional to 8,414.80, 12,611.05 and 6,457.43 is: 9,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.80 : 12,611.05 = 6,457.43 : x
  2. Step 2: Convert to fraction form
    8,414.80/12,611.05 = 6,457.43/x
  3. Step 3: Cross multiply
    8,414.80x = 12,611.05 × 6,457.43
  4. Step 4: Simplify right side
    8,414.80x = 81,434,972.60
  5. Step 5: Solve for x
    x = 81,434,972.60/8,414.80
  6. Step 6: Final answer
    x = 9,677.59

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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.