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Finding the Fourth Proportional to 11,902.56, 17,856.54 and 8,206.26

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Solution

The fourth proportional to 11,902.56, 17,856.54 and 8,206.26 is: 12,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.56 : 17,856.54 = 8,206.26 : x
  2. Step 2: Convert to fraction form
    11,902.56/17,856.54 = 8,206.26/x
  3. Step 3: Cross multiply
    11,902.56x = 17,856.54 × 8,206.26
  4. Step 4: Simplify right side
    11,902.56x = 146,535,409.94
  5. Step 5: Solve for x
    x = 146,535,409.94/11,902.56
  6. Step 6: Final answer
    x = 12,311.25

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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.