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Finding the Fourth Proportional to 12,816.92, 17,687.41 and 7,151.92

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Solution

The fourth proportional to 12,816.92, 17,687.41 and 7,151.92 is: 9,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.92 : 17,687.41 = 7,151.92 : x
  2. Step 2: Convert to fraction form
    12,816.92/17,687.41 = 7,151.92/x
  3. Step 3: Cross multiply
    12,816.92x = 17,687.41 × 7,151.92
  4. Step 4: Simplify right side
    12,816.92x = 126,498,879.23
  5. Step 5: Solve for x
    x = 126,498,879.23/12,816.92
  6. Step 6: Final answer
    x = 9,869.68

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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.