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Finding the Fourth Proportional to 19,694.80, 27,178.20 and 10,742.44

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Solution

The fourth proportional to 19,694.80, 27,178.20 and 10,742.44 is: 14,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.80 : 27,178.20 = 10,742.44 : x
  2. Step 2: Convert to fraction form
    19,694.80/27,178.20 = 10,742.44/x
  3. Step 3: Cross multiply
    19,694.80x = 27,178.20 × 10,742.44
  4. Step 4: Simplify right side
    19,694.80x = 291,960,182.81
  5. Step 5: Solve for x
    x = 291,960,182.81/19,694.80
  6. Step 6: Final answer
    x = 14,824.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.