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Finding the Fourth Proportional to 12,808.69, 17,672.99 and 7,772.79

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Solution

The fourth proportional to 12,808.69, 17,672.99 and 7,772.79 is: 10,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.69 : 17,672.99 = 7,772.79 : x
  2. Step 2: Convert to fraction form
    12,808.69/17,672.99 = 7,772.79/x
  3. Step 3: Cross multiply
    12,808.69x = 17,672.99 × 7,772.79
  4. Step 4: Simplify right side
    12,808.69x = 137,368,439.94
  5. Step 5: Solve for x
    x = 137,368,439.94/12,808.69
  6. Step 6: Final answer
    x = 10,724.63

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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.