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Finding the Fourth Proportional to 19,840.80, 27,378 and 11,881.92

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Solution

The fourth proportional to 19,840.80, 27,378 and 11,881.92 is: 16,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.80 : 27,378 = 11,881.92 : x
  2. Step 2: Convert to fraction form
    19,840.80/27,378 = 11,881.92/x
  3. Step 3: Cross multiply
    19,840.80x = 27,378 × 11,881.92
  4. Step 4: Simplify right side
    19,840.80x = 325,303,205.76
  5. Step 5: Solve for x
    x = 325,303,205.76/19,840.80
  6. Step 6: Final answer
    x = 16,395.67

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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.