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Finding the Fourth Proportional to 8,609.04, 12,894.12 and 8,414.64

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Solution

The fourth proportional to 8,609.04, 12,894.12 and 8,414.64 is: 12,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.04 : 12,894.12 = 8,414.64 : x
  2. Step 2: Convert to fraction form
    8,609.04/12,894.12 = 8,414.64/x
  3. Step 3: Cross multiply
    8,609.04x = 12,894.12 × 8,414.64
  4. Step 4: Simplify right side
    8,609.04x = 108,499,377.92
  5. Step 5: Solve for x
    x = 108,499,377.92/8,609.04
  6. Step 6: Final answer
    x = 12,602.96

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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.