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Finding the Fourth Proportional to 19,808, 27,335.04 and 11,424.50

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Solution

The fourth proportional to 19,808, 27,335.04 and 11,424.50 is: 15,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808 : 27,335.04 = 11,424.50 : x
  2. Step 2: Convert to fraction form
    19,808/27,335.04 = 11,424.50/x
  3. Step 3: Cross multiply
    19,808x = 27,335.04 × 11,424.50
  4. Step 4: Simplify right side
    19,808x = 312,289,164.48
  5. Step 5: Solve for x
    x = 312,289,164.48/19,808
  6. Step 6: Final answer
    x = 15,765.81

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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.