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Finding the Fourth Proportional to 12,169, 16,793.22 and 6,580

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Solution

The fourth proportional to 12,169, 16,793.22 and 6,580 is: 9,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 16,793.22 = 6,580 : x
  2. Step 2: Convert to fraction form
    12,169/16,793.22 = 6,580/x
  3. Step 3: Cross multiply
    12,169x = 16,793.22 × 6,580
  4. Step 4: Simplify right side
    12,169x = 110,499,387.60
  5. Step 5: Solve for x
    x = 110,499,387.60/12,169
  6. Step 6: Final answer
    x = 9,080.40

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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.