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Finding the Fourth Proportional to 11,469.46, 15,821.16 and 7,213.78

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Solution

The fourth proportional to 11,469.46, 15,821.16 and 7,213.78 is: 9,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.46 : 15,821.16 = 7,213.78 : x
  2. Step 2: Convert to fraction form
    11,469.46/15,821.16 = 7,213.78/x
  3. Step 3: Cross multiply
    11,469.46x = 15,821.16 × 7,213.78
  4. Step 4: Simplify right side
    11,469.46x = 114,130,367.58
  5. Step 5: Solve for x
    x = 114,130,367.58/11,469.46
  6. Step 6: Final answer
    x = 9,950.81

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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.