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Finding the Fourth Proportional to 12,309.93, 16,974.24 and 9,471.09

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Solution

The fourth proportional to 12,309.93, 16,974.24 and 9,471.09 is: 13,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.93 : 16,974.24 = 9,471.09 : x
  2. Step 2: Convert to fraction form
    12,309.93/16,974.24 = 9,471.09/x
  3. Step 3: Cross multiply
    12,309.93x = 16,974.24 × 9,471.09
  4. Step 4: Simplify right side
    12,309.93x = 160,764,554.72
  5. Step 5: Solve for x
    x = 160,764,554.72/12,309.93
  6. Step 6: Final answer
    x = 13,059.75

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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.