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Finding the Fourth Proportional to 13,777.01, 19,012.34 and 8,112

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Solution

The fourth proportional to 13,777.01, 19,012.34 and 8,112 is: 11,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.01 : 19,012.34 = 8,112 : x
  2. Step 2: Convert to fraction form
    13,777.01/19,012.34 = 8,112/x
  3. Step 3: Cross multiply
    13,777.01x = 19,012.34 × 8,112
  4. Step 4: Simplify right side
    13,777.01x = 154,228,122.36
  5. Step 5: Solve for x
    x = 154,228,122.36/13,777.01
  6. Step 6: Final answer
    x = 11,194.60

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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.