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Finding the Fourth Proportional to 12,195.35, 16,828.71 and 7,159.78

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Solution

The fourth proportional to 12,195.35, 16,828.71 and 7,159.78 is: 9,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.35 : 16,828.71 = 7,159.78 : x
  2. Step 2: Convert to fraction form
    12,195.35/16,828.71 = 7,159.78/x
  3. Step 3: Cross multiply
    12,195.35x = 16,828.71 × 7,159.78
  4. Step 4: Simplify right side
    12,195.35x = 120,489,861.28
  5. Step 5: Solve for x
    x = 120,489,861.28/12,195.35
  6. Step 6: Final answer
    x = 9,879.98

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1.5x scale

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.