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Finding the Fourth Proportional to 8,205.90, 12,323.70 and 7,185.30

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Solution

The fourth proportional to 8,205.90, 12,323.70 and 7,185.30 is: 10,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.90 : 12,323.70 = 7,185.30 : x
  2. Step 2: Convert to fraction form
    8,205.90/12,323.70 = 7,185.30/x
  3. Step 3: Cross multiply
    8,205.90x = 12,323.70 × 7,185.30
  4. Step 4: Simplify right side
    8,205.90x = 88,549,481.61
  5. Step 5: Solve for x
    x = 88,549,481.61/8,205.90
  6. Step 6: Final answer
    x = 10,790.95

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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.