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Finding the Fourth Proportional to 19,711.92, 27,202.76 and 11,213.84

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Solution

The fourth proportional to 19,711.92, 27,202.76 and 11,213.84 is: 15,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.92 : 27,202.76 = 11,213.84 : x
  2. Step 2: Convert to fraction form
    19,711.92/27,202.76 = 11,213.84/x
  3. Step 3: Cross multiply
    19,711.92x = 27,202.76 × 11,213.84
  4. Step 4: Simplify right side
    19,711.92x = 305,047,398.20
  5. Step 5: Solve for x
    x = 305,047,398.20/19,711.92
  6. Step 6: Final answer
    x = 15,475.28

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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.