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Finding the Fourth Proportional to 11,237.12, 16,855.60 and 8,774

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Solution

The fourth proportional to 11,237.12, 16,855.60 and 8,774 is: 13,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.12 : 16,855.60 = 8,774 : x
  2. Step 2: Convert to fraction form
    11,237.12/16,855.60 = 8,774/x
  3. Step 3: Cross multiply
    11,237.12x = 16,855.60 × 8,774
  4. Step 4: Simplify right side
    11,237.12x = 147,891,034.40
  5. Step 5: Solve for x
    x = 147,891,034.40/11,237.12
  6. Step 6: Final answer
    x = 13,160.94

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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.