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Finding the Fourth Proportional to 11,647.68, 16,074.94 and 7,174.04

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Solution

The fourth proportional to 11,647.68, 16,074.94 and 7,174.04 is: 9,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.68 : 16,074.94 = 7,174.04 : x
  2. Step 2: Convert to fraction form
    11,647.68/16,074.94 = 7,174.04/x
  3. Step 3: Cross multiply
    11,647.68x = 16,074.94 × 7,174.04
  4. Step 4: Simplify right side
    11,647.68x = 115,322,262.56
  5. Step 5: Solve for x
    x = 115,322,262.56/11,647.68
  6. Step 6: Final answer
    x = 9,900.88

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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.