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Finding the Fourth Proportional to 12,199, 16,834.64 and 6,610

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Solution

The fourth proportional to 12,199, 16,834.64 and 6,610 is: 9,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199 : 16,834.64 = 6,610 : x
  2. Step 2: Convert to fraction form
    12,199/16,834.64 = 6,610/x
  3. Step 3: Cross multiply
    12,199x = 16,834.64 × 6,610
  4. Step 4: Simplify right side
    12,199x = 111,276,970.40
  5. Step 5: Solve for x
    x = 111,276,970.40/12,199
  6. Step 6: Final answer
    x = 9,121.81

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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.