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Finding the Fourth Proportional to 12,079.68, 16,668 and 6,774

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Solution

The fourth proportional to 12,079.68, 16,668 and 6,774 is: 9,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.68 : 16,668 = 6,774 : x
  2. Step 2: Convert to fraction form
    12,079.68/16,668 = 6,774/x
  3. Step 3: Cross multiply
    12,079.68x = 16,668 × 6,774
  4. Step 4: Simplify right side
    12,079.68x = 112,909,032
  5. Step 5: Solve for x
    x = 112,909,032/12,079.68
  6. Step 6: Final answer
    x = 9,347.02

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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.