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Finding the Fourth Proportional to 8,300.22, 12,447.90 and 6,835.74

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Solution

The fourth proportional to 8,300.22, 12,447.90 and 6,835.74 is: 10,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.22 : 12,447.90 = 6,835.74 : x
  2. Step 2: Convert to fraction form
    8,300.22/12,447.90 = 6,835.74/x
  3. Step 3: Cross multiply
    8,300.22x = 12,447.90 × 6,835.74
  4. Step 4: Simplify right side
    8,300.22x = 85,090,607.95
  5. Step 5: Solve for x
    x = 85,090,607.95/8,300.22
  6. Step 6: Final answer
    x = 10,251.61

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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.