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Finding the Fourth Proportional to 8,169.67, 12,232.41 and 6,405.40

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Solution

The fourth proportional to 8,169.67, 12,232.41 and 6,405.40 is: 9,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.67 : 12,232.41 = 6,405.40 : x
  2. Step 2: Convert to fraction form
    8,169.67/12,232.41 = 6,405.40/x
  3. Step 3: Cross multiply
    8,169.67x = 12,232.41 × 6,405.40
  4. Step 4: Simplify right side
    8,169.67x = 78,353,479.01
  5. Step 5: Solve for x
    x = 78,353,479.01/8,169.67
  6. Step 6: Final answer
    x = 9,590.78

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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.