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Finding the Fourth Proportional to 8,584.65, 12,876.98 and 8,183.70

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Solution

The fourth proportional to 8,584.65, 12,876.98 and 8,183.70 is: 12,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.65 : 12,876.98 = 8,183.70 : x
  2. Step 2: Convert to fraction form
    8,584.65/12,876.98 = 8,183.70/x
  3. Step 3: Cross multiply
    8,584.65x = 12,876.98 × 8,183.70
  4. Step 4: Simplify right side
    8,584.65x = 105,381,300.31
  5. Step 5: Solve for x
    x = 105,381,300.31/8,584.65
  6. Step 6: Final answer
    x = 12,275.55

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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.