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Finding the Fourth Proportional to 17,782.62, 26,671.72 and 11,119.70

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Solution

The fourth proportional to 17,782.62, 26,671.72 and 11,119.70 is: 16,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.62 : 26,671.72 = 11,119.70 : x
  2. Step 2: Convert to fraction form
    17,782.62/26,671.72 = 11,119.70/x
  3. Step 3: Cross multiply
    17,782.62x = 26,671.72 × 11,119.70
  4. Step 4: Simplify right side
    17,782.62x = 296,581,524.88
  5. Step 5: Solve for x
    x = 296,581,524.88/17,782.62
  6. Step 6: Final answer
    x = 16,678.17

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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.