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Finding the Fourth Proportional to 11,751.98, 16,218.17 and 6,446.67

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Solution

The fourth proportional to 11,751.98, 16,218.17 and 6,446.67 is: 8,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.98 : 16,218.17 = 6,446.67 : x
  2. Step 2: Convert to fraction form
    11,751.98/16,218.17 = 6,446.67/x
  3. Step 3: Cross multiply
    11,751.98x = 16,218.17 × 6,446.67
  4. Step 4: Simplify right side
    11,751.98x = 104,553,157.76
  5. Step 5: Solve for x
    x = 104,553,157.76/11,751.98
  6. Step 6: Final answer
    x = 8,896.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.