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Finding the Fourth Proportional to 17,874.72, 26,777.20 and 11,700

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Solution

The fourth proportional to 17,874.72, 26,777.20 and 11,700 is: 17,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.72 : 26,777.20 = 11,700 : x
  2. Step 2: Convert to fraction form
    17,874.72/26,777.20 = 11,700/x
  3. Step 3: Cross multiply
    17,874.72x = 26,777.20 × 11,700
  4. Step 4: Simplify right side
    17,874.72x = 313,293,240
  5. Step 5: Solve for x
    x = 313,293,240/17,874.72
  6. Step 6: Final answer
    x = 17,527.17

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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.