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Finding the Fourth Proportional to 17,745, 26,627.22 and 8,511

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Solution

The fourth proportional to 17,745, 26,627.22 and 8,511 is: 12,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745 : 26,627.22 = 8,511 : x
  2. Step 2: Convert to fraction form
    17,745/26,627.22 = 8,511/x
  3. Step 3: Cross multiply
    17,745x = 26,627.22 × 8,511
  4. Step 4: Simplify right side
    17,745x = 226,624,269.42
  5. Step 5: Solve for x
    x = 226,624,269.42/17,745
  6. Step 6: Final answer
    x = 12,771.16

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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.