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Finding the Fourth Proportional to 17,813.76, 26,704.08 and 11,220

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Solution

The fourth proportional to 17,813.76, 26,704.08 and 11,220 is: 16,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.76 : 26,704.08 = 11,220 : x
  2. Step 2: Convert to fraction form
    17,813.76/26,704.08 = 11,220/x
  3. Step 3: Cross multiply
    17,813.76x = 26,704.08 × 11,220
  4. Step 4: Simplify right side
    17,813.76x = 299,619,777.60
  5. Step 5: Solve for x
    x = 299,619,777.60/17,813.76
  6. Step 6: Final answer
    x = 16,819.57

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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.