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Finding the Fourth Proportional to 12,471.05, 17,212.87 and 8,493.75

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Solution

The fourth proportional to 12,471.05, 17,212.87 and 8,493.75 is: 11,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.05 : 17,212.87 = 8,493.75 : x
  2. Step 2: Convert to fraction form
    12,471.05/17,212.87 = 8,493.75/x
  3. Step 3: Cross multiply
    12,471.05x = 17,212.87 × 8,493.75
  4. Step 4: Simplify right side
    12,471.05x = 146,201,825.18
  5. Step 5: Solve for x
    x = 146,201,825.18/12,471.05
  6. Step 6: Final answer
    x = 11,723.29

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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.