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Finding the Fourth Proportional to 8,494.86, 12,656.18 and 8,076.62

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Solution

The fourth proportional to 8,494.86, 12,656.18 and 8,076.62 is: 12,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.86 : 12,656.18 = 8,076.62 : x
  2. Step 2: Convert to fraction form
    8,494.86/12,656.18 = 8,076.62/x
  3. Step 3: Cross multiply
    8,494.86x = 12,656.18 × 8,076.62
  4. Step 4: Simplify right side
    8,494.86x = 102,219,052.85
  5. Step 5: Solve for x
    x = 102,219,052.85/8,494.86
  6. Step 6: Final answer
    x = 12,033.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.