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Finding the Fourth Proportional to 11,446, 15,795.72 and 6,478

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Solution

The fourth proportional to 11,446, 15,795.72 and 6,478 is: 8,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446 : 15,795.72 = 6,478 : x
  2. Step 2: Convert to fraction form
    11,446/15,795.72 = 6,478/x
  3. Step 3: Cross multiply
    11,446x = 15,795.72 × 6,478
  4. Step 4: Simplify right side
    11,446x = 102,324,674.16
  5. Step 5: Solve for x
    x = 102,324,674.16/11,446
  6. Step 6: Final answer
    x = 8,939.78

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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.