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Finding the Fourth Proportional to 8,109.80, 12,164.74 and 4,644.62

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Solution

The fourth proportional to 8,109.80, 12,164.74 and 4,644.62 is: 6,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.80 : 12,164.74 = 4,644.62 : x
  2. Step 2: Convert to fraction form
    8,109.80/12,164.74 = 4,644.62/x
  3. Step 3: Cross multiply
    8,109.80x = 12,164.74 × 4,644.62
  4. Step 4: Simplify right side
    8,109.80x = 56,500,594.70
  5. Step 5: Solve for x
    x = 56,500,594.70/8,109.80
  6. Step 6: Final answer
    x = 6,966.95

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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.