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Finding the Fourth Proportional to 8,205.96, 12,309.70 and 3,524.93

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Solution

The fourth proportional to 8,205.96, 12,309.70 and 3,524.93 is: 5,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.96 : 12,309.70 = 3,524.93 : x
  2. Step 2: Convert to fraction form
    8,205.96/12,309.70 = 3,524.93/x
  3. Step 3: Cross multiply
    8,205.96x = 12,309.70 × 3,524.93
  4. Step 4: Simplify right side
    8,205.96x = 43,390,830.82
  5. Step 5: Solve for x
    x = 43,390,830.82/8,205.96
  6. Step 6: Final answer
    x = 5,287.72

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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.