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Finding the Fourth Proportional to 8,205.93, 12,319.84 and 6,981.21

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Solution

The fourth proportional to 8,205.93, 12,319.84 and 6,981.21 is: 10,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.93 : 12,319.84 = 6,981.21 : x
  2. Step 2: Convert to fraction form
    8,205.93/12,319.84 = 6,981.21/x
  3. Step 3: Cross multiply
    8,205.93x = 12,319.84 × 6,981.21
  4. Step 4: Simplify right side
    8,205.93x = 86,007,355.30
  5. Step 5: Solve for x
    x = 86,007,355.30/8,205.93
  6. Step 6: Final answer
    x = 10,481.12

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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.