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Finding the Fourth Proportional to 20,271.68, 27,981.60 and 11,888

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Solution

The fourth proportional to 20,271.68, 27,981.60 and 11,888 is: 16,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.68 : 27,981.60 = 11,888 : x
  2. Step 2: Convert to fraction form
    20,271.68/27,981.60 = 11,888/x
  3. Step 3: Cross multiply
    20,271.68x = 27,981.60 × 11,888
  4. Step 4: Simplify right side
    20,271.68x = 332,645,260.80
  5. Step 5: Solve for x
    x = 332,645,260.80/20,271.68
  6. Step 6: Final answer
    x = 16,409.36

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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.