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Finding the Fourth Proportional to 20,071.92, 27,710.16 and 12,116

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Solution

The fourth proportional to 20,071.92, 27,710.16 and 12,116 is: 16,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.92 : 27,710.16 = 12,116 : x
  2. Step 2: Convert to fraction form
    20,071.92/27,710.16 = 12,116/x
  3. Step 3: Cross multiply
    20,071.92x = 27,710.16 × 12,116
  4. Step 4: Simplify right side
    20,071.92x = 335,736,298.56
  5. Step 5: Solve for x
    x = 335,736,298.56/20,071.92
  6. Step 6: Final answer
    x = 16,726.67

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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.