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Finding the Fourth Proportional to 11,309.95, 16,950.97 and 8,200.63

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Solution

The fourth proportional to 11,309.95, 16,950.97 and 8,200.63 is: 12,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.95 : 16,950.97 = 8,200.63 : x
  2. Step 2: Convert to fraction form
    11,309.95/16,950.97 = 8,200.63/x
  3. Step 3: Cross multiply
    11,309.95x = 16,950.97 × 8,200.63
  4. Step 4: Simplify right side
    11,309.95x = 139,008,633.11
  5. Step 5: Solve for x
    x = 139,008,633.11/11,309.95
  6. Step 6: Final answer
    x = 12,290.83

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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.