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Finding the Fourth Proportional to 13,194.54, 19,764.27 and 7,912.80

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Solution

The fourth proportional to 13,194.54, 19,764.27 and 7,912.80 is: 11,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.54 : 19,764.27 = 7,912.80 : x
  2. Step 2: Convert to fraction form
    13,194.54/19,764.27 = 7,912.80/x
  3. Step 3: Cross multiply
    13,194.54x = 19,764.27 × 7,912.80
  4. Step 4: Simplify right side
    13,194.54x = 156,390,715.66
  5. Step 5: Solve for x
    x = 156,390,715.66/13,194.54
  6. Step 6: Final answer
    x = 11,852.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.