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Finding the Fourth Proportional to 19,771, 27,288.84 and 11,392.36

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Solution

The fourth proportional to 19,771, 27,288.84 and 11,392.36 is: 15,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771 : 27,288.84 = 11,392.36 : x
  2. Step 2: Convert to fraction form
    19,771/27,288.84 = 11,392.36/x
  3. Step 3: Cross multiply
    19,771x = 27,288.84 × 11,392.36
  4. Step 4: Simplify right side
    19,771x = 310,884,289.26
  5. Step 5: Solve for x
    x = 310,884,289.26/19,771
  6. Step 6: Final answer
    x = 15,724.26

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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.