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Finding the Fourth Proportional to 11,742, 16,205.40 and 6,774

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Solution

The fourth proportional to 11,742, 16,205.40 and 6,774 is: 9,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 16,205.40 = 6,774 : x
  2. Step 2: Convert to fraction form
    11,742/16,205.40 = 6,774/x
  3. Step 3: Cross multiply
    11,742x = 16,205.40 × 6,774
  4. Step 4: Simplify right side
    11,742x = 109,775,379.60
  5. Step 5: Solve for x
    x = 109,775,379.60/11,742
  6. Step 6: Final answer
    x = 9,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.