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Finding the Fourth Proportional to 11,940.74, 16,485.12 and 7,974.98

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Solution

The fourth proportional to 11,940.74, 16,485.12 and 7,974.98 is: 11,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.74 : 16,485.12 = 7,974.98 : x
  2. Step 2: Convert to fraction form
    11,940.74/16,485.12 = 7,974.98/x
  3. Step 3: Cross multiply
    11,940.74x = 16,485.12 × 7,974.98
  4. Step 4: Simplify right side
    11,940.74x = 131,468,502.30
  5. Step 5: Solve for x
    x = 131,468,502.30/11,940.74
  6. Step 6: Final answer
    x = 11,010.08

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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.