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Finding the Fourth Proportional to 18,385.26, 27,561.48 and 8,511

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Solution

The fourth proportional to 18,385.26, 27,561.48 and 8,511 is: 12,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.26 : 27,561.48 = 8,511 : x
  2. Step 2: Convert to fraction form
    18,385.26/27,561.48 = 8,511/x
  3. Step 3: Cross multiply
    18,385.26x = 27,561.48 × 8,511
  4. Step 4: Simplify right side
    18,385.26x = 234,575,756.28
  5. Step 5: Solve for x
    x = 234,575,756.28/18,385.26
  6. Step 6: Final answer
    x = 12,758.90

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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.