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Finding the Fourth Proportional to 11,900.64, 17,852.72 and 11,171.68

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Solution

The fourth proportional to 11,900.64, 17,852.72 and 11,171.68 is: 16,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.64 : 17,852.72 = 11,171.68 : x
  2. Step 2: Convert to fraction form
    11,900.64/17,852.72 = 11,171.68/x
  3. Step 3: Cross multiply
    11,900.64x = 17,852.72 × 11,171.68
  4. Step 4: Simplify right side
    11,900.64x = 199,444,874.97
  5. Step 5: Solve for x
    x = 199,444,874.97/11,900.64
  6. Step 6: Final answer
    x = 16,759.17

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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.