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Finding the Fourth Proportional to 12,180, 16,808.40 and 6,591

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Solution

The fourth proportional to 12,180, 16,808.40 and 6,591 is: 9,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180 : 16,808.40 = 6,591 : x
  2. Step 2: Convert to fraction form
    12,180/16,808.40 = 6,591/x
  3. Step 3: Cross multiply
    12,180x = 16,808.40 × 6,591
  4. Step 4: Simplify right side
    12,180x = 110,784,164.40
  5. Step 5: Solve for x
    x = 110,784,164.40/12,180
  6. Step 6: Final answer
    x = 9,095.58

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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.