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Finding the Fourth Proportional to 12,769.92, 17,618.58 and 7,737.12

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Solution

The fourth proportional to 12,769.92, 17,618.58 and 7,737.12 is: 10,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.92 : 17,618.58 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    12,769.92/17,618.58 = 7,737.12/x
  3. Step 3: Cross multiply
    12,769.92x = 17,618.58 × 7,737.12
  4. Step 4: Simplify right side
    12,769.92x = 136,317,067.69
  5. Step 5: Solve for x
    x = 136,317,067.69/12,769.92
  6. Step 6: Final answer
    x = 10,674.86

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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.