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Finding the Fourth Proportional to 11,153.45, 16,697.36 and 7,446.48

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Solution

The fourth proportional to 11,153.45, 16,697.36 and 7,446.48 is: 11,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.45 : 16,697.36 = 7,446.48 : x
  2. Step 2: Convert to fraction form
    11,153.45/16,697.36 = 7,446.48/x
  3. Step 3: Cross multiply
    11,153.45x = 16,697.36 × 7,446.48
  4. Step 4: Simplify right side
    11,153.45x = 124,336,520.06
  5. Step 5: Solve for x
    x = 124,336,520.06/11,153.45
  6. Step 6: Final answer
    x = 11,147.81

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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.