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Finding the Fourth Proportional to 19,686.96, 27,162 and 11,188.44

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Solution

The fourth proportional to 19,686.96, 27,162 and 11,188.44 is: 15,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.96 : 27,162 = 11,188.44 : x
  2. Step 2: Convert to fraction form
    19,686.96/27,162 = 11,188.44/x
  3. Step 3: Cross multiply
    19,686.96x = 27,162 × 11,188.44
  4. Step 4: Simplify right side
    19,686.96x = 303,900,407.28
  5. Step 5: Solve for x
    x = 303,900,407.28/19,686.96
  6. Step 6: Final answer
    x = 15,436.63

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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.