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Finding the Fourth Proportional to 8,263.73, 12,379.97 and 6,405.74

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Solution

The fourth proportional to 8,263.73, 12,379.97 and 6,405.74 is: 9,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.73 : 12,379.97 = 6,405.74 : x
  2. Step 2: Convert to fraction form
    8,263.73/12,379.97 = 6,405.74/x
  3. Step 3: Cross multiply
    8,263.73x = 12,379.97 × 6,405.74
  4. Step 4: Simplify right side
    8,263.73x = 79,302,775.10
  5. Step 5: Solve for x
    x = 79,302,775.10/8,263.73
  6. Step 6: Final answer
    x = 9,596.49

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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.