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Finding the Fourth Proportional to 8,584.30, 12,856.62 and 8,288.80

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Solution

The fourth proportional to 8,584.30, 12,856.62 and 8,288.80 is: 12,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.30 : 12,856.62 = 8,288.80 : x
  2. Step 2: Convert to fraction form
    8,584.30/12,856.62 = 8,288.80/x
  3. Step 3: Cross multiply
    8,584.30x = 12,856.62 × 8,288.80
  4. Step 4: Simplify right side
    8,584.30x = 106,565,951.86
  5. Step 5: Solve for x
    x = 106,565,951.86/8,584.30
  6. Step 6: Final answer
    x = 12,414.05

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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.