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Finding the Fourth Proportional to 11,751.68, 16,217.04 and 6,446.45

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Solution

The fourth proportional to 11,751.68, 16,217.04 and 6,446.45 is: 8,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.68 : 16,217.04 = 6,446.45 : x
  2. Step 2: Convert to fraction form
    11,751.68/16,217.04 = 6,446.45/x
  3. Step 3: Cross multiply
    11,751.68x = 16,217.04 × 6,446.45
  4. Step 4: Simplify right side
    11,751.68x = 104,542,402.22
  5. Step 5: Solve for x
    x = 104,542,402.22/11,751.68
  6. Step 6: Final answer
    x = 8,895.95

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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.