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Finding the Fourth Proportional to 18,493.49, 27,732.94 and 7,964.30

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Solution

The fourth proportional to 18,493.49, 27,732.94 and 7,964.30 is: 11,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.49 : 27,732.94 = 7,964.30 : x
  2. Step 2: Convert to fraction form
    18,493.49/27,732.94 = 7,964.30/x
  3. Step 3: Cross multiply
    18,493.49x = 27,732.94 × 7,964.30
  4. Step 4: Simplify right side
    18,493.49x = 220,873,454.04
  5. Step 5: Solve for x
    x = 220,873,454.04/18,493.49
  6. Step 6: Final answer
    x = 11,943.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.