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Finding the Fourth Proportional to 11,305.08, 16,954.16 and 7,817.50

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Solution

The fourth proportional to 11,305.08, 16,954.16 and 7,817.50 is: 11,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.08 : 16,954.16 = 7,817.50 : x
  2. Step 2: Convert to fraction form
    11,305.08/16,954.16 = 7,817.50/x
  3. Step 3: Cross multiply
    11,305.08x = 16,954.16 × 7,817.50
  4. Step 4: Simplify right side
    11,305.08x = 132,539,145.80
  5. Step 5: Solve for x
    x = 132,539,145.80/11,305.08
  6. Step 6: Final answer
    x = 11,723.86

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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.